Question

A line has an y-intercept of 4 and a x-intercept of 1. Use this information to write a function in slope intercept form (y = mx + b) for the line running through these points.

Answer 1

Answer:  D.  y = -4x + 4

Step-by-step explanation:

Notice that the y-intercept is when x is zero and the x intercept is when y is 0.

and to write in the equation in slope intercept form , you will need the slope and the intercept.

We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.

y intercept: ( 0,4)  

x intercept: (1,0)

y coordinates difference:  4 - 0 = 4

x coordinates difference:  0 - 1 = - 1  

Slope:  4/-1 =  -4  

Since the slope is -4 and the the y intercept is 4 , the equation will be

 y = -4x + 4