Answer:
y-intercept = -2
Explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this formula, "m" represents the slope and "b" represents the y-intercept. Remember how the Point (-10, -6) contains one "x" value and one "y" value. Using these values in addition to the slope, you can plug them into the equation to find the y-intercept.
x = -10 (from point)
y = -6 (from point)
m = 2/5
y = mx + b <----- Slope-intercept form
y = (2/5) x + b <----- Plug 2/5 into "m"
-6 = (2/5)(-10) + b <----- Plug in "x" and "y" values from point
-6 = -4 + b <----- Multiply 2/5 and -10
-2 = b <----- Add 4 to both sides
Therefore, the value of the y-intercept is b = -2. The complete equation of the line is:
y = (2/5)x - 2
