Question

The equation of a line is y=mx+ 4. What is the value of m if the line passes through point (−3, 7)?

Answer 1

Answer:

m= -1

Step-by-step explanation:

plug in the coordinate (-3, 7) into y=mx+4 where (x, y)

7=-3m+4

solve for m and you get -1

:)

Answer 2

Answer:

$\huge\boxed{m=-1}$

Step-by-step explanation:

We have

$y=mx+4\\\\(-3,\ 7)$

Put the coordinates of the given point to the equation of the line:

$(-3,\ 7)\to x=-3,\ y=7\\\\7=-3m+4\qquad|\text{subtract 4 from both sides}\\\\7-4=-3m+4-4\\\\3=-3m\qquad|\text{divide both sides by (-3)}\\\\\dfrac{3}{-3}=\dfrac{-3m}{-3}\\\\-1=m\to m=-1$