Find the value of m in y = mx + 3 so that the x- intercept of ots graph will be (4,0)

Question

Find the value of m in y = mx + 3 so that the x- intercept of its graph will be (4,0)

Answer 1

Hi Ryan;

 

The x-intercept means that when y=0, x=4.

(As opposed to y-intercept, x=0.)

 

0=4m+3

Let's subtract 3 from both sides as we proceed to isolate m...

0-3=4m+3-3

-3=4m

Let's divide both sides by 4...

-3/4=(4m)/4

-3/4=m

 

Let's plug in and verify results...

y=(-3/4)x+3

0=[(-3/4)(4)]+3

0=-3+3

0=0