Question

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

Remember Slope-Intercept Form is y=mx+b

Answer 1

`y = x -3`

Explanation:

1) First, find the slope by using the slope formula,
`m = (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 = ((0)-(-3))/((3)-(0)) \\m = (0+3)/(3-0) \\m = (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`