Answer:
Equation in point slope form is: [tex]y+3=4(x+6)[/tex]
Solving for y we get: [tex]\mathbf{y=4x+21}[/tex]
Step-by-step explanation:
We are given:
Slope = 4
Point (-6,-3)
Point Slope form:
We need to write equation for point-slope form
The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where m is slope and [tex]y_1\: and\: x_1\\[/tex] are points on the line
Now putting values of slope m= 4, [tex]x_1=-6, y_1=-3[/tex] and finding equation
[tex]y-y_1=m(x-x_1)\\y-(-3)=4(x-(-6)\\y+3=4(x+6)[/tex]
So, equation in point slope form is: [tex]y+3=4(x+6)[/tex]
Solve for y
[tex]y+3=4(x+6)\\y+3=4x+24\\y=4x+24-3\\y=4x+21[/tex]
So, solving for y we get: [tex]\mathbf{y=4x+21}[/tex]
