Answer:
y = 5x + 22
Explanation:
The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.
We are given that the line has a slope of 5 and passes through (-5, -3).
Substituting the values in the point-slope form of the equation of a line:
y - y1 = m(x - x1)
y - (-3) = 5(x - (-5))
y + 3 = 5(x + 5)
y + 3 = 5x + 25
y = 5x + 22
Hence, the equation of the line is y = 5x + 22.