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Write the equation of the line in slope-intercept form that passes through the points (2, -2) and (-3, -17)

User Ditz
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2 Answers

7 votes

Answer: y = 3x - 8

Explanation:

User Georgii Ivankin
by
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5 votes

Answer: y = 3x - 8

Step-by-step explanation: If you’re given two points that lie on a line, and you’re asked to write the equation of the line, your first task will be to find the slope of that line using the slope formula.

The slope formula is m = y₂ - y₁ / x₂ - x₁

Substituting our points in, we have -17 - -2 / -3 - 2 which is -15/-5 or 3.

So the slope of our line is 3 which can be used with either one of our

two points to write the equation of the line in point-slope form.

So let's go with the point (2, -2).

Point-slope form is written y - y₁ = m(x - x₁).

Since we're using the point (2, -2), y - y₁ would be y - -2 or y + 2.

Now, m would be 3 and x - x₁ would be x - 2.

So we have y + 2 = 3(x - 2).

To put this equation into slope-intercept form, we would first distribute

the 3 through the parentheses which gives us y + 2 = 3x - 6.

Move the number to the right side of the equation by

subtracting 2 from both sides and we have y = 3x - 8.

So the equation of the line would be y = 3x - 8.

User Bdrx
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8.6k points

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