Question

Write the slope-intercept form of the given line. Include your work in your final answer.

Please explain how you got the answer! I'd really appreciate it.

Answer 1

your points are (1.5,0) and (0,3.5)

Explanation:

your points are (1.5,0) and (0,3.5)

The equation for slope-intercept is y2-y1 over x2-x1

3.5-0 over 0-1.5

3.5 over -1.5

Answer 2

y = -1.5x - 3

Explanation:

The slope-intercept form of a line is y = mx + c where m is the slope of the line and c is the y-intercept of the line.

To find the slope of a line, you need to find the
`(rise)/(run)` between two of the points. I will be using the points (-2, 0) and (0, -3).

`(rise)/(run)` =
`(-3-0)/(0-(-2))`

=
`(-3)/(2)`

= -1.5

Now based on the graph, we see that the y-intercept is -3. Thus, the entire equation of the given line is: y = -1.5x - 3