Question

Question #05a7b

Answer 1

a = -2

Explanation:

Step 1) Give the point (-10, -6) and the slope of `2` we can use the point-slope form to find the equation of the line:

`y - -6 = 2(x - - 10)`

`y + 6 = 2(x + 10)`

`y + 6 = 2x + 20`

`y + 6 - 6 = 2x + 20 - 6`

`y + 0 = 2x + 14`

`y = 2x + 14`

Step 2) Substitute `-8` for `x` into the equation to calculate `y` which is the value of `a`:

`y = (2 xx -8) + 14`

`y = -16 + 14`

`y = -2`