Will give brainlist!

write the equation of the line that passes through (0,2) and (2,-4) in slope intercept form.

a. y = -1/3x + 2
b. y = -3x + 2
c. y = -1/3x - 2
d. y = 2x - 3

B. y = -3x + 2

Step-by-step explanation:

The equation for slope intercept form is

We need to find the slope and y-intercept.

Let's find the slope first.

Using the slope formula:

So, the slope of the points (0,2) and (2,-4) is -3.

-3 will replace m.

The Y-intercept, or b, is 2, since (0,2) is on the y-axis.

We end up with:

Option B is correct since it matches our equation.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4