Question

write the equation of the given parent graph with the points, (5,-2), (6,0), (4,0)

Answer 1

Since we are given three points, we can use the point-slope form of a linear equation to find the equation of the parent graph. The point-slope form is given as:

y - y1 = m(x - x1)

Let's find the slope (m) first:

m = (y2 - y1) / (x2 - x1)

Using (5, -2) and (6, 0):

m = (0 - (-2)) / (6 - 5)
m = (0 + 2) / (1)
m = 2

Now, let's use one of the points and the slope to write the equation:

Using (5, -2):
y - (-2) = 2(x - 5)
y + 2 = 2x - 10

Rearranging the equation in the standard form, we get:
2x - y = 12

So, the equation of the given parent graph is 2x - y = 12.