Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b,
where m = slope, and b = y-intercept.
From the slope-intercept equation y = 5x - 3, we see that the slope of the line is 3.
The point-slope form of the equation of a line is:
y - y1 = m(x - x1)
where m = slope, and (x1, y1) is a point on the line.
We have point (-2, -13), so x1 = -2, and y1 = -13.
We also have slope 5, so m = 5.
Now we use the coordinates of the given point and the slope in the point-slope equation.
y - (-13) = 5(x - (-2))
We simplify to get
y + 13 = 5(x + 2)
