Answer: A = 15, (-3, 15)
Explanation:
Since we are given the slope and one coordinate point, we can create a slope-intercept equation for this line. Using this equation, we can find A. In slope-intercept form, m is the slope and b is the y-intercept.
y = mx + b
(5) = -2(2) + b
5 = -4 + b
b = 9
This means the equation of this line is y = -2x + 9.
Lastly, we will substitute -3 for x into our equation and solve for A, or y.
y = -2x + 9
(A) = -2(-3) + 9
A = 6 + 9
A = 15
I have graphed this line and attached a picture for a visual.