Question

Use the point and the slope to graph each line. Write the equation of the line :

The line passes through the point (1,-1) and is parallel to a line that has slope 1.
What is the equation of the line

Answer 1

Explanation:

Since the new line is parallel to the one that has a slope of 1, we can write:

y = 1x + b for the new line

Remember that y=mx+b, where m is the slope and b the y-intercept, the value of y when x=0.

We need to find a value of b that forces the line through point (1,-1). Use (1,-1) in the equation and solve for b:

y = 1x + b

-1 = 1*(1)+b

b = -2

The equation of the line parallel to one with slope of 1 and going through point (1,-1) is:

y = 1x - 2