Evaluate the graph below.
in which interval is the rate of change the greatest?
asap

Rate of change is the highest in interval 4 ≤ x ≤ 6.

Step-by-step explanation:

The rate of change of a graph is defined as the slope of the graph at that point.

We have to find in which interval the the graph has the highest rate of change.

From the graph we can see that different intervals has different slopes.

From the graph we can see that the steepness of the graph is the highest in the interval 4 ≤ x ≤ 6.

Hence the rate of change is the highest in this interval.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form