Answer:
The point-slope form of an equation of the line is:
[tex]y-9 = 5(x+2)[/tex]
Step-by-step explanation:
Given
Slope m = 5
Point (-2, 9)
Point slope form of an equation of a line:
Point slope form of an equation of a line is defined as
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
- m is the slope of the line
In our case,
substituting the values m = 5 and the point (x₁, y₁) = (-2, 9) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 9 = 5 (x - (-2)[/tex]
[tex]y-9 = 5(x+2)[/tex]
Therefore, the point-slope form of an equation of the line is:
[tex]y-9 = 5(x+2)[/tex]
