Question

Find an equation for the line that passes through the point (-3, 6), parallel to the line through the points (0,-7) and (4,-15). Write your answer in point-slope form.

Answer 1

1st we will have to find the equation of the points (0,-7)(4,-15)
find the slope 1st
slope = y2-y1/x2-x1
slope = -8/4
slope = -2
and we know that the y intercept is -7
thus
the equation would be
y = -2x - 7

now we need to find the equation of the line that passes throgh (-3,6) and parallel to the previous equation
since it is parallel to the previous equation then they have the same slopes
thus the slope is -2
now we need to use
y - y1 = m(x - x1) to determine the equation
subsitute the values of x1 and y1
and m is the slope
y - 6 = -2(x +3)
y - 6 = -2x -6
y = -2x
that's the equation!