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