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 (negative 3, 0) and (negative 2, 4). The slope is 3, and the y-intercept is 9. The slope is 3, and the y-intercept is 12. The slope is 4, and the y-intercept is 9. The slope is 4, and the y-intercept is 12.

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The slope and the y-intercept of the linear function that is represented by the graphOn a coordinate plane, a line goes through points ( - 3, 0) and ( - 2, 4).

• The slope is 3, and the y-intercept is 9.

• The slope is 3, and the y-intercept is 12.

• The slope is 4, and the y-intercept is 9.

• The slope is 4, and the y-intercept is 12.

EVALUATION

Here the given line passes through the points ( - 3, 0) and ( - 2, 4).

So the equation of the line is

$\displaystyle \sf{ \frac{y - 0}{x + 3} = \frac{4 - 0}{ - 2 + 3} }$

$\displaystyle \sf{ \implies \frac{y }{x + 3} = \frac{4}{ 1} }$

$\displaystyle \sf{ \implies y = 4x + 12}$

Which is of the form y = mx + c

Where ,

m = Slope of the line = 4

c = y - intercept of the line = 12

FINAL ANSWER

Hence the correct option is

The slope is 4 , and the y-intercept is 12.

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