The equation of the line is:
y + 4 = 5(x - 0) [point-slope form]
y = 5x - 4 [slope-intercept form]
How to Find the Equation of a Line?
Using the point-slope form, the equation of a line that has a slope of m, and passes through a point (a, b), can be written as: y - b = m(x - a).
Given the following:
Slope (m) = 5
Point on the line (a, b) = (0, -4)
Substitute m = 5 and (a, b) = (0, -4) into y - b = m(x - a)
y - (-4) = 5(x - 0)
y + 4 = 5(x - 0)
Or rewrite in slope-intercept form as:
y + 4 = 5x
y = 5x - 4
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