Write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph of the given equation (-3,-5) y=-2+1

Question

Write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph of the given equation (-3,-5) y=-2+1

Answer 1

Since the line is parallel, the slopes will be the same, so m = -2

y = -2x + b, then substitute the coordinates of the point given (-3, -5), means x = -3 and y = -5

-5 = -2(-3) + b

-5 = 6 + b, then collect like terms together by subtracting 6 from both sides

-5 -6 = b

-11 = b

so the answer will be y = -2x -11.