What is the meaning of slope and y-int for y=20x

Question

This is a word problem asking for what is the meaning of slope for the equation y=20x. And the meaning of y-intercept

Answer 1

y = 20x

 

The equation has the form

 

y = mx + b

y = 20x = 20x + 0 ⇒ m = 20 and b = 0

 

m = slope = 20

For every run of 1 in the +x direction, there is a rise of 20 in the +y direction.

 

b= 0

 

The line crosses the y-axis at the point (0,b), which is (0,0) in this problem.

Answer 2

y = mx + b

 

m is the slope, b is the y-intercept.

 

With a slope of 20, for every change of x in 1, y changes by 20.

 

The y-intercept is the origin.