Answer:
[tex]y+3=3(x+5)[/tex]
Step-by-step explanation:
Hi there!
We are given that a line has a slope of 3 and contains the point (-5, -3)
We want to find the equation of this line in point-slope form
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope of the line and [tex](x_1, y_1)[/tex] is a point on the line
As we are given both a point and the slope, we can immediately plug these values into the formula to find the equation
Starting with the slope, replace 3 with m in [tex]y-y_1=m(x-x_1)[/tex]
[tex]y-y_1=3(x-x_1)[/tex]
Now replace [tex]y_1[/tex] and [tex]x_1[/tex] with -3 and -5 respectively
[tex]y--3=3(x--5)[/tex]
We can simplify this
[tex]y+3=3(x+5)[/tex]
Hope this helps!
