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

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

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)}\\\\(3)/(-3)=(-3m)/(-3)\\\\-1=m\to m=-1`

Answer 2

m= -1

Explanation:

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

7=-3m+4

solve for m and you get -1

:)