Answer:
y = -3x + 2
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation of a line:
[tex]y=-3x+7\to m=-3,\ b=7[/tex]
Parallel lines have the same slope. Therefore we have the equation:
[tex]y=-3x+b[/tex]
Put the coordinates of the given point (2, -4) to the equation:
[tex]-4=-3(2)+b[/tex]
[tex]-4=-6+b[/tex] add 6 to both sides
[tex]2=b\to b=2[/tex]
Finally:
[tex]y=-3x+2[/tex]
