Given the following points, write the equation of the line that goes through them. ( -12,56), (0,8), and (8,-24).

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

take two points from the data

(0,8), and (8,-24).

substitute

step 2

Find the equation of he line in slope intercept form

we have

----> the y-intercept is given

substitute

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.