Question

Find the equation for the line that passes through the (4,8) and intercepts with the X axis at -12.Make a sketch of its graph and label it “Line L”.Be sure to label the increments on the x and y axis of your graph.Create and write down an equation for the line parallel to Line L.Graph this perpendicular line.

Answer 1

The following diagram shows the graph of the line:

The line passes througt (4,8) and (-12,0) so the slope must be:

`m=(8-0)/(4-(-12))=(8)/(16)=(1)/(2)=0.5`

And the y-intercept of the graph is at (0,6) so the equation must be:

`y=(1)/(2)x+6`

Any line with the same slope will be parallel to line L, for example:

`y=(1)/(2)x+2`

As shown in the graph: