Answer:
[tex]y = x -3[/tex]
Step-by-step explanation:
1) First, find the slope by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. We can see that the two points marked on the line are (0, -3) and (3,0). So, substitute the x and y values of those points into the formula and solve:
[tex]m = \frac{(0)-(-3)}{(3)-(0)} \\m = \frac{0+3}{3-0} \\m = \frac{3}{3} \\m=1[/tex]
So, the slope is 1.
2) Slope-intercept form is represented by the formula [tex]y = mx+b[/tex]. Substitute values for [tex]m[/tex] and [tex]b[/tex] in order to write an equation.
Substitute 1 for [tex]m[/tex] since it represents the slope. Substitute -3 for [tex]b[/tex] since it represents the y-intercept. (Remember that the y-intercept is the point at which the line intersects the y-axis. So, by looking at the graph provided, we can see that (0,-3) is the y-intercept without doing any calculations.) This gives the following answer:
[tex]y = x -3[/tex]
