Question

Answer the following correctly

Answer 1

`y = -(10)/(3)x - 23`

Explanation:

Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (-3 - 7)/(-6 -(-9)) = (-10)/(3) = -(10)/(3)`

Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.

Thus:

-3 = (-10/3)(-6) + b

-3 = 20 + b

Subtract 20 from each side

-23 = b

b = -23

substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.

The equation of the line would be:

✅
`y = -(10)/(3)x + (-23)`

`y = -(10)/(3)x - 23`