Answer:
An equation of the line with the given information with
m = 4 and point A(-1, -5) is:
Step-by-step explanation:
As the equation of a line in point-slope form is given by:
[tex]y-y_1=m\left(y-x_1\right)[/tex]
where m is the slope.
Given:
Substituting the values in the equation of a line in point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y\:-\:\left(-5\right)\:=\:4\:\left(x\:-\:\left(-1\right)\right)[/tex]
[tex]y+5=4\left(x+1\right)[/tex]
subtract 5 from both the sides
[tex]y+5-5=4\left(x+1\right)-5[/tex]
[tex]y=4x-1[/tex]
Therefore, an equation of the line with the given information
with m = 4 and point A(-1, -5) is:
