Question

Determine the correct equation for the line passing through the point (1,4) which is parallel to the line passing through both of the points (5,3) and (-3,75). Write the equation in slope intercept form.

Answer 1

(5,3)(-3,75)
slope = (75 - 3) / (-3 - 5) = 72 / -8 = - 9....parallel line will have the same slope

y = mx + b
slope(m) = -9
(1,4)...x = 1 and y = 4
now we sub and find b, the y int
4 = -9(1) + b
4 = -9 + b
4 + 9 = b
13 = b

so ur parallel equation is : y = -9x + 13 <==