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

Respuesta :

winniethepooh1881

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

:)

gmany

Answer:

[tex]\huge\boxed{m=-1}[/tex]

Step-by-step explanation:

We have

[tex]y=mx+4\\\\(-3,\ 7)[/tex]

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

[tex](-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[/tex]