what is the equation of the line that passes through the point $(-3,-3)$ and has a slope of $3$?
what is the equation of the line that passes through the point $(-3,-3)$ and has a slope of $3$?
Answer
Explanation:
Step1: Use the point - slope form
The point - slope form of a line is (y - y_1=m(x - x_1)), where ((x_1,y_1)=(-3,-3)) and (m = 3). Substitute the values: (y-(-3)=3(x-(-3))).
Step2: Simplify the equation
Simplify (y + 3=3(x + 3)). Expand the right side: (y+3=3x+9). Subtract 3 from both sides: (y=3x + 6).
Answer:
(y = 3x+6)