Q:

Use the graph of the line to find the​ x-intercept, y-intercept, and slope. Write the​ slope-intercept form of the equation of the line.

Accepted Solution

A:
1) x-intercept:x-intercept is the point where the graph of the equation crosses the x-axis. From the given figure, we can see that the line is crossing the x-axis at -10. Thus the x-intercept is -92) y-intercept:y-intercept is the point where the graph of the equation crosses the y-axis. From the given figure, we can see that the line is crossing the y-axis at -10. Thus the y-intercept is -93) Slope:Slope of a line is calculated as:[tex]slope=m=\frac{\text{Difference in y coordinates}}{\text{Difference in x coordinates}}[/tex]For calculating the slope we can use both intercepts. x-intercept is ordered pair will be (-9, 0) and y-intercept will be (0, -9). So the slope of the line will be:[tex]m=\frac{-9-0}{0-(-9)}=-1[/tex]Therefore, the slope of the line is -1.4) Slope intercept form of the line:The slope intercept form of the line is represented as:[tex]y=mx+c[/tex]where,m = slope of line = -1c = y-intercept = -9Using these values, the equation becomes:[tex]y=-x- 9[/tex]