Question

Write the slope-intercept form of the equation of the line described.

1) through (2, 2), parallel to y=x+4

Answer 1

Slope intercept form: y=mx+b; where m is the slope and B is the y intercept

For 2 lines to be parallel they must have the same slope. Thus, the slope of the new line is going to be 1.

To find the y intercept plug in the slope and the x, y into the equation y=mx+b:

y=mx+b

y=1x+b

2=1(2)+b

2=2+b

0=b

b=0

Now that we have your slope and y intercept we can make the equation:

y=1x+0

y=x

Explanation: