Respuesta :

Answer:

H) Slope -1/4 and y-intercept -1.5

Step-by-step explanation:

The slope of the line is determined by the formula :

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\[/tex]

We can use any two points on the line lets use the ones that are shown, (-6 , 0) and (2 , -2).

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-2-0}{2-(-6)} \\\\m=\frac{-2}{8}\\\\m=-\frac{1}{4} \\[/tex]

and the y-intercept is shown in the graph where the line crosses the y-axis

In this case the line crosses the y-axis between -1 and -2 which is -1.5

so the value of slope is -1/4 and the value of y-intercept is -1.5 .So third option is our answer.