Write a linear equation parallel to the line y = 2x + 1 that passes through the point (4,-5) in slope intercept form.

y = 2x - 13

Explanation:

Slope intercept form: y = mx + c where m is the gradient/slope (how steep the line is) and c is the y intercept ( the point where the line crosses the y axis)

It states parallel, so you know that the gradient has to be the same (they need to be "steep" at the same rate to be parallel)

Substitute the numbers in:

y = mx + c

-5 = 2(4) + c

-5 = 8 + c

c = -8-5

c = -13

With this, rewrite the equation:

y = 2x - 13