what does y=mx mean? where does it come from?. in this lesson you will learn to derive the equation...
DESCRIPTION
Let’s Review For any line, the ratio of rise to run is constant. We call this ratio the slope of the lineTRANSCRIPT
What does y=mx mean? Where does it come from?
In this lesson you will learn to derive the equation y=mx by
using similar triangles.
Let’s ReviewLet’s Review
For any line, the ratio of rise to run is
constant.
We call this ratio the slope of the
line.
4
6
6
9
Slope = = =
Let’s ReviewA Common Mistake
Be careful!
Slope = Slope =
Let’s ReviewCore Lesson
Slope:
(0, 0)2
3 (x, y)yx
=
y = x
Let’s ReviewCore Lesson
Slope: m
(0, 0)m
1 (x, y)yx
=
y = mx
Let’s ReviewCore Lesson
Any point (x,y) on a line through the origin with slope m will satisfy y=mx.
y=mx is the equation of a line through the origin with slope m.
In this lesson you have learned to derive the equation y=mx
by using similar triangles.
Let’s ReviewGuided Practice
Use similar triangles to demonstrate that the equation of a line through the origin with slope 3 is y=3x.
Let’s ReviewExtension Activities
A line through the origin has slope . Does it pass through (8,10)? Explain.
Let’s ReviewExtension Activities
A line through the origin passes through (5,6). What is the line’s equation?
Let’s ReviewQuick Quiz
Use similar triangles to demonstrate that the equation of a line through the origin with slope is y= x.