Question

Select the equation which represents the graph.
Question 1 options:

A: y − 3 = 3/2(x − 4)

B: y − 3 = 2/3(x − 4)

C: y − 3 =− 2/3(x − 4)

D: y − 3 = −3/2(x − 4)

Answer 1

Answer:

B. $y - 3 = \frac{2}{3}(x - 4)$

Step-by-step explanation:

We can create an equation to represent the graph in point-slope form, given as $y - y_1 = m(x - x_1)$, by using a point (x1, y1) on the line, (4, 3) and the slope (m) of the line.

Let's find slope using the two points (4, 3) and (-2, -1).

$slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 3}{-2 - 4} = \frac{-4}{-6} = \frac{2}{3}$

Substitute m = ⅔, x1 = 4, and y1 = 3 in $y - y_1 = m(x - x_1)$.

The equation that represents the graph would be:

✅$y - 3 = \frac{2}{3}(x - 4)$,