Question

What is the slope intercept of the line below

Answer 1

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Answer:
`\textsf{Option D, y = 2x - 3}`

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Given:
`\textsf{The graph}`

Find:
`\textsf{The equation in slope intercept form}`

Solution: Looking at the graph, we can see that the line intersects the y-axis at -3 therefore that is the y-intercept. All we need to do now is find a second point so we can determine the slope. The line crosses at (1, -1) so we will use that as the second point. Then we just plug all of the values into the slope intercept form.

Determine the slope

• 
  `m = (y_2 - y_1)/(x_2 - x_1)`

• 
  `m = (-1 - (-3))/(1 - 0)`

• 
  `m = (-1 + 3)/(1)`

• 
  `m = (2)/(1)`

• 
  `m = 2`

Plug in the values

• 
  `y = mx + b`

• 
  `y = 2x - 3`

Therefore, the option that would best fit the graph that was provided would be option D, y = 2x - 3.