has a y-intercept of 8 and an x-intercept of -4

Question

how do i find the x and y intercept and how do i find the equation

Answer 1

The x intercept is a coordinate point on the x-axis.  The x-intercept is (-4, 0).

The y-intercept is a coordinate point on the y-axis.  The y-intercept is (0, 8).

 

 

If you want the equation of the line, we need to find the slope between the two points.

 

slope = (y₂ - y₁) / (x₂ - x₁)

 

slope = (8 - 0) / (0 - (-4))

slope = 8 / 4

slope = 2

 

 

The equation is

 

y = 2x + 8

 

 

Answer 2

y-intercept of 8 means the line passes through (0, 8).

x-intercept of -4 means the line passes through (-4, 0)

 

The slope between these two points is 8/4, or 2/1.

 

Use the point-slope form:

 

m(x - x₁) = y - y₁

 

2(x - (-4)) = y - 0

2(x + 4) = y

2x + 8 = y