Question

What are the slope and the y-intercept of the linear function that is represented by the graph?

Answer 1

Answer:

The slope is Two-thirds, and the y-intercept is 3.

Step-by-step explanation:

(0 , -2)  & (3, 0)

$Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \dfrac{0-[-2]}{3-0}= \dfrac{0+2}{3}\\\\Slope= \dfrac{2}{3}$

At y-intercept x= 0;

So, y-intercept = 3

Answer 2

Answer:

The slope is Two-thirds, and the y-intercept is –2.

Step-by-step explanation:

Given the points (0, negative 2) and (3, 0):

We can solve for the slope of the line using the following equation:

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

Let (x1, y1) = (0, -2)

(x2, y2) = (3, 0)

Substitute these values into the formula:

$m = \frac{y2 - y1}{x2 - x1} = \frac{0 - (-2)}{3-0} = \frac{0 + 2 }{3} = \frac{2}{3}$

Therefore, the slope is 2/3 or two-thirds.

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). One of your given points is the y-intercept, (0, -2). Therefore, the y-intercept = -2.

Combined is the linear equation in slope-intercept form, y = 2/3x - 2.

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