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

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1 Answer

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