## How do you proof that y=mx+c touches the circle …

· What I believe is that the line will only touch the circle when it is at a tangent. Therefore, the point of intersection between of the two lines should mean that it will only cross at one point. Which we should be able to prove when we use the quadratic formula’s discrminant b²-4ac. The only problem is I can’t get the discrimant to equal 0. y=mx+c x²+y²=a² x²+m²x²+2cmx+c²=a² x²

## SOLUTION: what does the equation y=mx+c mean?

For y = mx + c, we have y expressed as a function of x, whereby any increase in x is calculated to be an (m times x) increase in y. The c value is the value of y when x = 0. If this function is graphed as a line, m is the slope of that line and c is the y-intercept. Answer by AnlytcPhil (1756) ( Show Source ):

## Condition for the line y = mx + c to be a tangent to the …

Condition for the line y = mx + c to be a tangent to the circle x 2 + y 2 = a 2 and finding the point of contact Let the line y = mx + c touch the circle x 2 + y 2 = a 2.The centre and radius of the circle x 2 + y 2 = a 2 are (0, 0) and a respectively. (i) Condition for a line to be tangent

Maths Genie

Maths revision video and notes on the topic of the equation of a line, y=mx+c. The Equation of a Line By using this website, you automatically accept that we use cookies.

Parabola

LINE & A PARABOLA The line y = mx + c meets the parabola y² = 4ax in two points real, coincident or imaginary according as a cm condition of tangency is, c = a/m. Length of the chord intercepted by the parabola on the line y = m x + c

Mathematical Methods

recognise features of the graph of \(y=mx+c\), including its linear nature, its intercepts and its slope or gradient (ACMMM003) find the equation of a straight line given sufficient information; parallel and perpendicular lines (ACMMM004)

## What is the proof that a line can be represented as y = …

As Jospeh Murray points out, a naked equation is not something one “proves.” [math]y = mx + b[/math] is not the only algebraic way to represent a line in Cartesian coordinates. Geometrically, any two (distinct) points, describe a line. So if [math

Cauchy’s functional equation

Cauchy’s functional equation is the functional equation of linear independence: (+) = + (). Solutions to this are called additive functions.Over the rational numbers, it can be shown using elementary algebra that there is a single family of solutions, namely : ↦ for any rational constant ..

Solutions over the rational numbers ·

## Use calculus to find length of y=-mx+b, then show that …

Use calculus to find length of y=-mx+b, then show that the answer agrees with the answer when using pythagorean theorem Ask Question Asked 2 years, 4 months ago Active 2 years, 4 months ago Viewed 297 times 0 $\begingroup$ First question, sorry for

## What is the derivative of mx+b? + Example

· Gió. Dec 21, 2014. Considering the function (linear): y = mx + b where m and b are real numbers, the derivative, y’, of this function (with respect to x) is: y’ = m. This function, y = mx + b, represents, graphically, a straight line and the number m represents the SLOPE of the line (or if you want the inclination of the line).

Equation of a Straight Line

Equations of straight lines are in the form y = mx + c (m and c are numbers). m is the gradient of the line and c is the y-intercept (where the graph crosses the y-axis). NB1: If you are given the equation of a straight-line and there is a number before the ‘y’, divide everything by this number to get y by itself, so that you can see what m and c are.

## y=mx+c Video – Corbettmaths

y=mx+c Video Equation of a linear graph, straight line Videos equation of a line y=mx+c Post navigation Previous Finding the Equation of a Straight Line Video Next Finding the equation passing through two points Video GCSE Revision Cards 5-a-day GDPR

## Resourceaholic: Algebra

‘Understanding y = mx+c’ worksheet – Teachit Maths Horizontal and vertical lines activities – Teachit Maths Blog post: ‘All about gradient’ Parallel and perpendicular True/false activity – rogradymaths.blogspot.co.uk Reciprocals Odd One Out – MathsPad and

10 Moment generating functions

· PDF 檔案10 MOMENT GENERATING FUNCTIONS 119 10 Moment generating functions If Xis a random variable, then its moment generating function is φ(t) = φX(t) = E(etX) = (P x e txP(X= x) in discrete case, R∞ −∞ e txf X(x)dx in continuous case. Example 10.1. Assume

Graphs

Equations of straight lines are in the form y = mx + c (m and c are numbers). m is the gradient of the line and c is the y-intercept (where the graph crosses the y-axis). NB1: If you are given the equation of a straight-line and there is a number before the ‘y’, divide everything by this number to get y by itself, so that you can see what m and c are.

Tangents and normals

· PDF 檔案standard equation for a straight line is y = mx +c, where m is the gradient. So what we gain from looking at this standard equation and comparing it with the straight line y = x +5 is that the gradient, m, is equal to 1. Thus the gradients of the tangents we are