Question

Choose the equation of the line passing through the point (-2, 6) and parallel to y = x - 8.

y = x + 7

y = x + 5

y = 2x + 7

y = 2x + 5

Answer 1

y=mx+c, m=1
now choose a point (x,y) and imagine it is on the same line with (-2,6). NOW JUST find the
gradient using your points and equate it to 1

Answer 2

\(\LARGE\color{black}{{Hello!~:)}}\)

Have you found your answer?

Answer 3

Nope....

Answer 4

Im lost with this whole algebra stuff since I dont get the difference between the equations since i dont understand it

Answer 5

Okay, well, hello, my name is Stephen. You can call me Steve if you'd like.

"Choose the equation of the line passing through the point (-2, 6) and parallel to y = x - 8."

Okay, we know the line is parallel. Remember that parallel lines have the same slope.

If the equation is in y = mx + b form, were m is the slope.
Then: y = x - 8, your slope is: x, or just 1.


We are also given the points (-2, 6)

Info so far
Slope: 1
Points: (-2, 6)

We can use the point-slope form to find the equation.

y - y1 = m(x - x1)

Plug in the terms

y - 6 = 1(x - [2)]

Then we solve the equation

y - 6 = x - 2
y = x - 2 + 6

Can you solve it from there?

Answer 6

Wait so x is x and y is y and m - slope right?

Answer 7

Yes, and how you can remember if a problem is an equation is it always has an equals sign in the middle of the numbers.

Answer 8

Ok thanks!! I never really understood that. .