Question
-What is the equation of the line that passes through the point (-2,-7) and has a slope of 6? Answer Attemptiout of 2 square
Solution
4.3
(293 Votos)
Heronilda
Mestre · Tutor por 5 anos
Resposta
To find the equation of a line that passes through a given point and has a specific slope, we can use the point-slope form of a linear equation. The point-slope form is given by:
where \( (x_1, y_1) \) is a point on the line and
is the slope of the line.Given:- Point: \( (-2, -7) \)- Slope:
Substitute these values into the point-slope form:
Simplify the equation:
Distribute the 6 on the right side:
Subtract 7 from both sides to isolate
:
So, the equation of the line is: