what is the x intercept, y intercept and one other point using 1/4x + 7 = y

Question

Forgot how to do this, Help!

Answer 1

To find the x-intercept, plug in zero for y and solve for x.

 

y = 1/4x + 7

0 = 1/4x + 7

-7 = 1/4x

-28 = x

 

The x-intercept is (-28,0).

 

To find the y-intercept, plug in zero for x and solve for y or get the y-intercept (b) from the equation in slope-intercept form.

 

y = 1/4x + 7

y = 1/4(0) + 7

y = 7

 

To find another point, pick a value for x and solve for y.

 

y = 1/4x + 7

y = 1/4(4) + 7

y = 8

 

The point is (4,8).

 

y = 1/4x + 7

y = 1/4(10) + 7

y = 19/2

 

The point is (10,19/2).