Find an equation of the line containing the pair of points (-4, -7) and (0, 4)
Our first priority is to establish slope.
Slope is change-of-y divided by change-of-x...
A negative number divided by a negative number has a positive result...
The equation in slope-intercept form is...
m is the slope.
b is the y-intercept, the value of y when x=0.
The slope is (11/4).
In this circumstance, the y-intercept is provided as (0,4).
Let's use the other equation to verify our results...
Determine the vertex of the parabola:
The vertex is the value of x at the point of the parabola in which the change of slope is zero. Henceforth, we will take the first derivative of the equation and set this equal to zero...
Let's establish the value of y...
The vertex is (10,6).
The x value of the vertex can also be established by applying the equation -b/2a to the original formula.