|
Question 653290: 2. Find and equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form.
(2,5);y=4x-7
Please help me determine
Answer by Shana-D77(132)   (Show Source):
You can put this solution on YOUR website! When you're given a slope and a point, it's best to use the point-slope form of the equation. "The" equation means the linear (straight line) equation. The point slope form is:
y = y1 = m(x - x1).
((side note: this is actually the slope formula, just rearranged.))
But you have to be a detective on this problem! Slope is not told to you directly, we have to find it. Parallel lines have the SAME slope! In the equation they give you, y = 4x - 7, the slope is 4! So the slope you will use is 4.
So,
slope (m) = 4
point (2, 5)
y - y1 = m(x - x1)
(the y and the x always stay as y and x in this form)
Plug in what your teacher gave you. y1 = 5 and x1 = 2 (from (2, 5)), and slope (m) = 4
y - 5 = 4(x - 2)
y - 5 = 4x - 8 (distributed the 4)
y = 4x - 3 (added 5 to both sides)
|
|
|
| |
