Write an equation of the line that passes through (2,-1) and is parallel to the graph of y = 5x – 2. write your final equation in slope-intercept form

The equation would be y = 5x - 11

Step-by-step explanation:

To find this line, start with the slope. Since it is parallel to the first line and parallel lines have the same slope, we know the slope to be 5. Given this we can use point-slope form and solve for y to get the equation.

y - y1 = m(x - x1)

y + 1 = 5(x - 2)

y + 1 = 5x - 10

y = 5x - 11