What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Red Cab?

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope. it is expressed as ratio y change / x change when going from one point to another.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b.

costs are on the y axis, miles are in the x axis.

so, what points do we see on the chart for the red taxi ?

let's start with the point right in the y-axis : (0, 2).

that gives us the y- intercept automatically.

and then let's pick e.g. the point, where both lines cross : (3, 8).

so, for the slope we look at the coordinate changes :

x changes by +3 (from 0 to 3).

y changes by +6 (from 2 to 8).

the slope is then 6/3 = 2.

and again, the y- intercept is +2.

therefore, the line equation is

y = 2x + 2

b.an increase in a causes b to decrease

john earns $14.00 for two hours of work.