Question

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

On a coordinate plane, a line goes through points (0, negative 2) and (3, 0).
The slope is Two-thirds, and the y-intercept is –2.
The slope is Two-thirds, and the y-intercept is 3.
The slope is Three-halves, and the y-intercept is –2.
The slope is Three-halves, and the y-intercept is 3.

Answer 1

Answer:

772974+938772+83x001356=9204729397⁹

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The slope and the y-intercept of the linear function that is represented by the graph

On a coordinate plane, a line goes through points (0, - 2) and (3, 0).

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

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

• The slope is Three-halves, and the y-intercept is –2.

• The slope is Three-halves, and the y-intercept is 3.

CONCEPT TO BE IMPLEMENTED

The slope - intercept form of any line is

y = mx + c

Where m = Slope of the line

c = y - intercept of the line

EVALUATION

Here the given points are (0, - 2) and (3, 0).

Now the equation of the line passing through the points (0, - 2) and (3, 0) is

$\displaystyle \sf{ \frac{y + 2}{ x- 0} = \frac{0 + 2}{3 - 0} }$

$\displaystyle \sf{ \implies \frac{y + 2}{ x} = \frac{2}{3} }$

$\displaystyle \sf{ \implies y + 2= \frac{2}{3} x}$

$\displaystyle \sf{ \implies y = \frac{2}{3} x - 2}$

Which of the slope - intercept form y = mx + c

$\displaystyle \sf{ where \: \: m = \frac{2}{3} \: \: \: and \: \: c = - 2}$

Thus we have the slope is Two-thirds, and the y-intercept is –2.

FINAL ANSWER

Hence the correct option is

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

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find the point where the graph of 0.25x + 0.05y =1.00 intersects the y-axis:

https://brainly.in/question/26332017

2. Find the equation of straight line passing through the point (-4,5) and making equal intercepts on the coordinate axis.

https://brainly.in/question/25257443

3. Find the slope of the line perpendicular to the line AB, if A is (3, 3) and B is (-1, 1)

https://brainly.in/question/27031626