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2 years ago

Write the slope-intercept form of the equation of the line through the given point with the given slope.

Mathematics

1 answer:

Marta_Voda [28]2 years ago

3 0

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Answer: $\textsf{y = x + 2}$

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Given: $\textsf{Slope = 1, Goes through (-1, 1)}$

Find: $\textsf{Determine the slope-intercept form of the equation}$

Solution: In order to determine the equation we need to first use the point-slope form which uses a slope and a point which can then be simplified and solve for y to get the slope-intercept form.

Plug in the values

$\textsf{y - y}_2\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - 1 = 1(x - (-1))}$

Simplify and solve for y

$\textsf{y - 1 = 1(x + 1)}$

$\textsf{y - 1 + 1 = x + 1 + 1}$

$\textsf{y = x + 2}$

Therefore, the simplified equation in slope-intercept form would be y = x + 2

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