According to the graph what is the value of the constant in the equation below

As you can see in the picture, all the points lie on the same line, so they are collinear. The line follows an equation with the general form of:

y = mx + b
where m and b are the constants

The b parameter is the y-intercept. This is the point at which the line intersects the y-axis. From the graph, b = 0. The other constant is the slope m. You can choose any two points, the answer would just be the same.

m = (y₂ - y₁)/(x₂ - x₁)
Suppose point 1 is (2,1) and point 2 is (3,1.5).

m = (1.5 - 1)/(3 - 2) = 1/2 or 0.5

Therefore, the answer is either 0 or 0.5. From the choices, the answer would be letter C.

so the perpendicular line goes through the given pointyou would get a perpendicular line at some random location

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.