Question

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

through: (-1,1), slope =1
PLS HELP AND EXPLAIN AND SHOW STEPS

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