Question

Write the equation of the line shown on the graph in slope-intercept form.

Answer 1

Answer:

$y = x -3$  

Step-by-step explanation:

1) First, find the slope by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$. 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:

$m = \frac{(0)-(-3)}{(3)-(0)} \\m = \frac{0+3}{3-0} \\m = \frac{3}{3} \\m=1$

So, the slope is 1.

2) Slope-intercept form is represented by the formula $y = mx+b$. Substitute values for $m$ and $b$ in order to write an equation.

Substitute 1 for $m$ since it represents the slope. Substitute -3 for $b$ 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:

$y = x -3$