Question

What is the equation of the line in slope intercept form using these points?

Answer 1

y = -x - 1

Explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope given two points, we can use the formula
`(y_2-y_1)/(x_2-x_1)` and plug in the corresponding variable.

• 
  `(5-(-2))/(-6-1)`
• 
  `(5+2)/(-7)`
• 
  `(7)/(-7)`
• 
  `-1`

3. Okay, so the slope is -1x or just -x. This means that the equation looks like this so far: y = -x + b

4. To find b, the y-intercept, we can take the equation of
`b = y_1 - m * x_1` and plug in the values!

• 
  `b = -2-(-1)*1`
• 
  `b = -2 + 1 * 1`
• 
  `b = -1 * 1`
• 
  `b = -1`

5. Now that we have our y-intercept and slope, let's plug in those values and find the equation!

• 
  `y = -x - 1`

Therefore, the equation of the line is y = -x - 1. I hope this helped you!