The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.
Using this form, we can substitute (-19, -15) for (x₁, y₁) and 5 for m:
y - (-15) = 5(x - (-19))
Simplifying the equation, we have:
y + 15 = 5(x + 19)
Distributing the 5:
y + 15 = 5x + 95
Subtracting 15 from both sides of the equation:
y = 5x + 80
Therefore, the equation of the line that passes through the point (-19, -15) with a slope of 5 is y = 5x + 80.
Use point-slope form to write the equation of a line that passes through the point (-19, -15) with slope 5
1 answer