The slope is the relationship between the cost of the gym and how long you are there for.
the y-intercept is how much it costs to go to the gym for no hours ie the start-up cost.
Hi there! You are provided with two points, this is all you need to calculate the line's slope.
The equation for slope is:


Slope: -2/4
Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.
y - 10 = -2/4(x - 3)
Write the equation in slope-intercept form (y=mx+b)

A) -2/4
B) y - 10 = -2/4(x - 3)
C) y = -2/4x + 11.5
Length (2, 6) to (-4, 6) is sqrt((x2 - x1))^2 + (y2 - y1)^2) = sqrt((-4 -2)^2 + (6 - 6)^2) = sqrt((-6)^2 + 0) = 6
Length (2, 6) to (-4, 4) is sqrt((-4 - 2)^2 + (4 - 6)^2) = sqrt((-6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40) = 2sqrt(10) units
Length (-4, 6) to (-4, 4) is sqrt((-4 - (-4))^2 + (4 - 6)^2) = sqrt(0^2 + (-2)^2) = 2
So the length of the longest side is 2sqrt(10) units
I have no clue how to solve this myself but i would recommend using photomath for tricky equations because it gives you a step by step tutorial for the problem