Question

Write the equation of a line that is parallel to y= -5x + 4 and passes through the point (3,-1)

Answer 1

y = -5x + 14

Explanation:

Parallel lines have the same slope, and their equations are identical except for the value of the constant (which in turn is the y-intercept).

Both lines have the slope m = -5. Start with y = mx + b, or y = -5x + b. Then substitute 3 for x and -1 for y:

-1 = -5(3) + b, or:

14 = b (the y-intercept is 14)

Then the desired equation is y = -5x + 14.