rate of change has the same meaning as slope of a line or gradient, denoted by m
slope = change in y / change in x
or
if we have two points (x1,y1) and (x2,y2) then the rate of change is
\[m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]
for your first problem,
consider that you have three points
we can use any two points,
I'll use the first two points
(2,10) and (4,20)
so we have x1 = 2, y1 = 10, x2=4, and y2=20
now, can you calculate the rate of change using the formula above? :)
a point in Cartesian coordinates is stated as (x,y) , the horizontal line is x-axis and the vertical line is y-axis, so
the first point is (6,25) and the second one is (0,0)
Now, what is the rate of change of the line? (use the previous formula)
Write an equation in slope-intercept form, point-slope, or standard form for the line with the given information. Explain why you chose the form you used.
a. Passes through (-1, 4) and (-5, 2)
We will just start with A lol