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.
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!
