Write an equation of a line parallel to line GH below in slope-intercept form that passes through the point (-5, 6).

y = −x − 1

y = x − 1

y = −x + 11

y = x + 11

Question

Write an equation of a line parallel to line GH below in slope-intercept form that passes through the point (-5, 6).

y = −x − 1

 y = x − 1

 y = −x + 11

 y = x + 11

anonymous · Answer

a line through the points G. (-2,2) and H. (2,6)

nikato · Answer

can you find the slope of GH?

anonymous · Answer

I got 8?

nikato · Answer

not quite.
remember how to find your slope?
$$\frac{ y _{1}-y _{2} }{ x _{1}-x _{2} }$$

nikato · Answer

and plug in your points. 
$$\frac{ 6-2 }{ 2-(-2) }$$

anonymous · Answer

4/4

nikato · Answer

correct. and you can just simplify to just 1.

and what do you know about the slopes of two parallel lines?

triciaal · Answer

parallel lines have the same slope
eqn of a line in point slope format is y-y1= m(x-x1) where you have 2 points on the line (x,y) and the given point (x1,y1)

anonymous · Answer

They have the same slope.

anonymous · Answer

I got y=x-1?

nikato · Answer

well... i got something different.
since you know parallel lines have the same slope, the other line also has a slope of 1.
and you know it has the point( -5,6)

plug it into the point-sloep form to find the y- intercept.

nikato · Answer

|dw:1404611325767:dw|