Question

Write the equation of the line with

slope -3 that goes through the point (-1,3).
Switch the equation to slope y intercept form.

Answer 1

y = -3x

Explanation:

You want the slope-intercept equation of the line with slope -3 through the point (-1,3).

Point-slope form

The equation of the line with slope m through point (h, k) can be written ...

y -k = m(x -h)

For slope -3 and point (-1, 3), the equation is ...

y -3 = -3(x +1)

Slope-intercept form

Eliminating parentheses gives ...

y -3 = -3x -3

Adding 3 gives the equation ...

y = -3x

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Additional comment

As you can see, the y-intercept is 0.