Dr. Lucretia G. answered • 10/24/22
Educator with 22 Years of Experience (K-16)
This problem provides you with a hint of where to begin. In choosing what equation to get started with this problem, the question provided you with the words: slope and point
When worded this way, you will always begin with the point-slope equation: y - y1 = m(x - x1), where
"m" represents the slope or rise/run
(x1, y1) represent one of the ordered pairs of the graph
In this case,
m = 4
(x1, y1) = (2,0) where 2 is x1 and y1 = 0
Step 1. Write the point-slope equation
y - y1 = m(x-x1)
Step 2: Substitute in the values into the equation.
y - 0 = 4(x - 2) Now, perform distributive property
y - 0 = 4x - 8 Next, we will need to isolate y which means that we have to perform the inverse
operation to remove the zero or any other number. Typically, the zero would drop off, but
to help you with the other problem, I will show you how this works.
y - 0 + 0 = 4x - 8 + 0 Simplify (Since 8 and 0 are constant values, you will add them.)
y = 4x -8 This is your new equation written in slope-intercept form. We know this because the
equation is solved for y and also on the right side there lies the slope (4) and the y-
intercept (-8) or (0,-8).
Good luck! I hope I was able to help.
