Question

Write in slope intercept form (-1,3) (1,-2)

Answer 1

y = 5/2x + 1/2

Explanation:

Find the slope with the formula [ y2-y1/x2-x1 ].

-2-3/1-(-1)

-5/2

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Find the y-intercept using the formula for slope-intercept form [ y = mx + b ]

y = -5/2x + b

3 = -5/2(-1) + b

3 = 5/2 + b

1/2 = b

Put everything we solved for into its final form.

y = 5/2x + 1/2

Best of Luck!

Answer 2

y = -2.5x + 0.5

Explanation:

First we must find the slope.

To do so we will use this formula:

y2 - y1 / x2 - x1

Substitute with (-1, 3) and (1, -2)

-2 - 3 / 1 + 1

-5/2

-2.5 is our slope.

Now to put this into slope-intercept form we will use Point-slope formula.

y - y1 = m(x - x1)

substitute using the ordered pair, (-1, 3):

y - 3 = -2.5(x + 1)

Distribute:

y - 3 = -2.5x + -2.5

Add 3 to both sides:

y = -2.5 + 0.5

Double check by using the other ordered pair.

(1, -2)

y + 2 = -2.5(x - 1)

Distribute:

y + 2 = -2.5x - 2.5

Add 2 to both sides:

y = -2.5x + 0.5

(-1, 3) and (1, -2) written in slope intercept form is:

y = -2.5x + 0.5