Answer:
Step-by-step explanation:
Slope intercept form of a line is given by:
Where
m is the slope and b is the y-intercept
Given slope is
We can write:
Now to find b, we replace x with -3 and y with -4, given, so we have:
So, the equation is:
Now,
The standard form is given by:
So, we take x and y to left side and the constant to right side. Rearranging, we get:
The first answer choice is right.
Step-by-step explanation:
First, find the zeroes of the parabola
So the zeroes or where the curve crosses the x axis is at 4 and -3.
Now, we take the derivative of the function.
Plug in -3, and 4 into the derivative function
So at x=-3, our slope of the tangent line is -7 and must pass through (-3,0). So we use point slope formula.
At x=4, our slope of tangent line is 7, and pass through (4,0) so
So the equations of tangent is