Write the slope-intercept form (y=mx + b) of the blue line. Explain or show your work. Write a one sentence summary comparing the blue line to the black line. Hint: Find the y-intercept. Then count up and over (y/x) to the next point on the line to determine the slope.

Therefore, the slope-intercept form of the blue line is

Comparison:

The blue and black lines both have equal y-intercept but different slopes.

The black line is steeper than blue line which means the black line has a greater slope than the blue line.

Step-by-step explanation:

Please refer to the attached graph of this question where we have two straight lines.

The slope-intercept form is given by

Where m is the slope of the line and b is the y-intercept.

Let us find the slope of the blue line from the points given in the graph.

The slope is given by

The y-intercept is given by

Therefore, the slope-intercept form of the blue line is

Comparison:

The blue and black lines both have equal y-intercept but different slopes.

The black line is steeper than blue line which means the black line has a greater slope than the blue line.