Question

Use the equation below to answer the question.

Answer 1

Answer:

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:

$y=3x+6$

Solution:

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

$y=mx+c$

Where,

$m=slope\\\\c=y-intercept$

On Comparing the given equation with above we get

$slope=m=3\\\\y-intercept =6$

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

$y=3(x+2)$

$0=3x+6\\\\3x=-6\\\\\therefore x=\dfrac{-6}{3}=-2$

∴ x-intercept of

$y=3x+6$

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.