After 8 weeks on a fitness program, mrs. Honaker can job 30 miles. Her average mileage gain has been 2 miles per week. Write an equation in slope intercept form to model this scenario.

y = 2x + 14

Step-by-step explanation:

Equation in slope intercept form:

y = mx + c

From the scenario above ;

y = total miles = 30

Average mile gain per week = slope (m) = 2

Number of weeks (x) = 8

We can obtain intercept, c :

30 = 2(8) + c

30 = 16 + c

30 - 16 = c

14 = c

Hence,

Equation goes thus ;

y = 2x + 14

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?