Everything necessary to use point-slope form has been given in the problem.
Equation: y-5=- 6(x+2) Graph:
Practice makes perfect
Using the given point and slope, we can apply the point-slope form to write and graph the equation. We will start by writing the equation.
Writing the Equation
An equation in point-slope form follows a specific format.
y- y_1= m(x- x_1)
In this format, the variable m represents the slope of the line and the point ( x_1, y_1) lies on the graph of the line.
We are given the point ( -2, 5) and the slope -6, so we have everything we need to create a point-slope form equation. Let's substitute these values into the general form and simplify.
To graph the line, we will plot the given point (-2,5) and use the slope -6 to find a second point. A slope of -6 means that we will move one step to the right and six steps down. By connecting the given point and our new point with a line, we get the graph of the equation.
