A line has an x-intercept of 2 and a y-intercept of 5. What is the equation of the line?

y = -2.5x + 5

Step-by-step explanation:

Here, given the x and y intercept, we want to write the equation of the line

The general equation form is;

y = mx + b

where m is the slope and b is the y-intercept

Using the given points, we have that;

(2,0) and (0,5)

b is 5

so we have;

y = mx + 5

to get m, set (2,0); x = 2 and y = 0

0 = 2m + 5

2m = -5

m = -5/2 = -2.5

So the equation is;

y = -2.5x + 5

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.