Answer:
The equation is;
y = -2x - 3
Explanation:
If two lines are parallel, then they have an equal value of slope
Mathematically we can generally have the equation of a line written as;
y = mx + c
where m
is slope and c is the y-intercept
In the case of the equation given, the slope of the line is -2
So technically, we want to get the equation of a line that has a slope of -2 and it passes through (2,-7)
The point-slope form can be written as;
y-y1 = m(x-x1)
So the equation we want to get is;
y-(-7) = -2(x-2)
y + 7 = -2x + 4
y = -2x + 4 - 7
y = -2x - 3