a. The y-intercept is the constant in the linear equation:

—5

The slope is the coefficient of x in the linear equation:

0.75

b. If the slope is positive, then the graph slopes upwards. If the slope is negative, then the graph slopes downwards. If the slope is 0, then the graph is horizontal.

Slope < 0 \(\displaystyle\Rightarrow\) Slopes downwards

c. Evaluate the given equation for two values of x.

Graph the two points.

Draw a line through the two points:

Results:

a.-5,-0.75

b.Slopes downwards

c.See graph

—5

The slope is the coefficient of x in the linear equation:

0.75

b. If the slope is positive, then the graph slopes upwards. If the slope is negative, then the graph slopes downwards. If the slope is 0, then the graph is horizontal.

Slope < 0 \(\displaystyle\Rightarrow\) Slopes downwards

c. Evaluate the given equation for two values of x.

Graph the two points.

Draw a line through the two points:

Results:

a.-5,-0.75

b.Slopes downwards

c.See graph