Use the equation below to answer the question.
y = 3x + 6
which equivalent equation is correctly matched with a key feature of the graph of the function it represents?
a
y = 3(x + 2) highlights that the y-intercept is at -2.
y = 3(x + 2) highlights that the y-intercept is at 2.
© y = 3(x + 2) highlights that the x-intercept is at -2.
y = 3(x + 2) highlights that the x-intercept is at 2.

The equivalent equation is correctly matched with a key feature of the graph is

y = 3(x + 2) highlights that the x-intercept is at -2.

Step-by-step explanation:

Given:

Solution:

The Given Equation is in Slope - Point Form i.e

Where,

On Comparing the given equation with above we get

Now we Know that

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

There are two intercepts:

y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.

x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.

For x-intercept

Put y = 0 in

∴ x-intercept of

x-intercept = -2

The equivalent equation is correctly matched with a key feature of the graph is

y = 3(x + 2) highlights that the x-intercept is at -2.

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8

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.