Find the value of

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

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Middletown, CT

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

Let's plug in and verify results...

y=(-3/4)x+3

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

0=-3+3

0=0

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