### Home > CALC > Chapter 2 > Lesson 2.2.1 > Problem 2-53

2-53.

Find the equation of the line through the vertex of *y* = 2*x*^{2} + 6*x* − 20 with a slope of

Find the coordinate of the vertex.

There are many ways to find a vertex. One way is by using the formula:

This will give you the *x*-value of the vertex. Then evaluate *y* = 2*x*^{2} + 6*x* − 20 to find the *y*-coordinate.

Find the equation of the line in point-slope form.

Since the slope is given and a point is known (the vertex), find the equation of the line in point-slope form: *y* − *y*_{1} = *m*(*x* − *x*_{1})