Question

Write a point-slope equation for the line that passes through the point (6, 8) and is parallel to the line given by y = -5x + 4

Answer 1

Well point slope is y - y1 = m( x - x1)

For this you need to plug in (6, 8) into the equation along with the slope (m).

Answer 2

It gives you the slope because it says the slope is parallel to the line y = -5x + 4

This is line is in the format y = mx + b
So since it is in this format, what number is in the place of "m"?

Answer 3

When you plug in the points it should look like this :

y - 8 = m( x - 6)
Do you know what the slope is?

Answer 4

im not sure... sorry

Answer 5

No no it's totally fine. Okay so slope is also referred to as "m". Slope intercept form is "y = mx + b" If I had an equation that was, say, y = 6x + 2. "6" would be in the place of "m". Are you following me?

Answer 6

yes i believe so...

Answer 7

Okay so it gives you a line already in the form y = mx + b. ( y = -5x + 4)
So the slope in that line would be -5. Now that you have the slope, you can plug it into the equation y - 8 = m (x - 6) The 8 and the 6 come from the point (6, 8) in the problem.

Answer 8

You should get \[y - 8 = -5 ( x - 6 )\]

Answer 9

so its y-8=-5(x-6)?

Answer 10

yep :)

Answer 11

thank you so much :)

Answer 12

you're welcome!