Here are 5 lines on a coordinate grid: Write equations for lines a, b,c, d and e

a:

b:

c:

d:

e:

Answer/Step-by-step explanation:

✔️Equation for line a:

Line a is a vertical line, hence, the slope is undefined. Equation of a vertical line is given as x = k. Where k is the x-intercept and would remain the same irrespective of the corresponding y-coordinates of all the other points on the vertical line.

In line a, the x-intercept is -4. Therefore, the equation for line a would be:

✅ x = -4

✔️Equation for line b:

Line b is also a vertical line, and would be represented as x = k.

The value of k is the point olwhere the line intercepts the x-axis.

Thus, k = 4.

Equation for line b would be:

✅ x = 4

✔️Equation for line c:

Line c is an horizontal line. Slope (m) of a horizontal line is always 0.

It can be represented in slope-intercept form, y = mx + b, where,

m = slope = 0

b = y-intercept = 4 (this is where the y-axis is intercepted by the line)

Thus, substitute m = 0, b = 4 in y = mx + b.

The equation for line c would be:

y = (0)(x) + 4

✅y = 4

✔️Equation for line d:

Slope (m) = 0

y-intercept (b) = -2

Substitute m = 0, and b = -2 in y = mx + b

Equation for line d awould be:

y = -2

✔️Equation for line e:

Slope (m) =

y-intercept (b) = 1

Substitute m = -¾, and b = 1 in y = mx + b

Equation for line e would be:

✅y = -¾x + 1

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.