Question

PLEASE ANSWER FAST !!!!!!!!!!!!!!

Answer 1

Answer:

B. $y = \frac{2}{3} x + 5$

Step-by-step explanation:

Let's use the slope equation first. The slope equation is as follows:

$\frac{y2-y1}{x2-x1} = slope$

This is what is given in the equation:

• Point (3,7)
• Point (6,9)

Let's label each component of the equation using these points:

y2 = 9

y1 = 7

x2 = 6

x1 = 3

Now, plug these into the equation

$\frac{9-7}{6-3} = \frac{2}{3}$

We can now eliminate A and C of the answer choices.

Now let's find the y intercept

Right now we have the following equation

$y = \frac{2}{3} x+ (y intercept)$

In order to find the y intercept we need to plug in one of the given points into the equation. Let's use point (3,7).

The equation should look like this now:

$7 = \frac{2}{3}(3) + (yintercept)$

Now lets solve for the y-intercept

$7 = \frac{2}{3}(3) + (yintercept)\\7 = \frac{6}{3} + (yintercept)\\7 = 2 + (yintercept) \\5 = yintercept$

Now that we found the y-intercept is 5 we have our full equation!

$y = \frac{2}{3} x + 5$

Hope this helps!!

- Kay