Question

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

Answer 1

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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