Answer:
B.) y = 5x
Explanation:
The point-slope test (y₁ - y₂ = m(x₁ - x₂)) can be used to determine the slope of a line. The hypotenuse of a right triangle is the diagonal line, opposite of the right angle. The slope (m) is found using two points on the line.
First point: (1,5) Second Point: (-2,-10)
y₁ - y₂ = m(x₁ - x₂) -----> (y₁ - y₂) / (x₁ - x₂) = m
(5 - (-10)) / (1 - (-2)) = m
(15) / (3) = m
5 = m
The slope-intercept equation (y = mx + b) can be used to determine the y-intercept. The y-intercept is the "y" value when "x" is zero. In the equation, the y-intercept value is represented by "b". This variable can be found using the value of the slope and a point on the line.
Point: (-2,-10) Slope: 5
mx + b = y
5(-2) + b = -10
-10 + b = -10
0 = b
After plugging in the values to the standard form equation, you are left with y = 5x. When "x" increases by one, the "y" value increases by five