What is an equation of the line that passes through (-2,3) and is parallel to y=5x + 4. Give your answer in slope intercept form [y=mx+b]

y = 5x+13

Step-by-step explanation:

Slope - intercept form

y = mx + b, where m is the gradient and b is the y-intercept.

Parallel lines have the same gradient.

y = 5x + 4

Gradient of given line = 5

Thus, gradient of line = 5

Subst. m=5 into the equation.

y = 5x + b

To find the value of b, substitute a coordinate

When x = - 2, y=3,

3 = 5 (-2) + b

3 = - 10 + b

b = 3 + 10 (+10 on both sides)

b = 13

Thus, the equation of the line is y = 5x + 13.