Question

Slope =
y-intercept = (0,

Answer 1

• slope = -5/3
• y-intercept = 3

Explanation:

You want the slope and the y-intercept of the line shown in the graph.

Slope

The slope is the ratio of "rise" to "run". It is best found by identifying points on the graph where the line crosses grid intersections. The attachment shows two of those: (0, 3), (3, -2).

You can count grid squares or use the slope formula to find the slope.

slope = rise/run = (y2 -y1)/(x2 -x1)

slope = (-2 -3)/(3 -0)

slope = -5/3

Y-intercept

The y-intercept is the y-value of the point where the line crosses the y-axis. We have already found that to be 3, at one of the points used to find the slope.

y-intercept = 3 . . . . point (0, 3)

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Additional comment

The slope-intercept form equation for the line would be ...

y = -5/3x +3

The standard-form equation would be ...

5x +3y = 9

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Answer 2

Solutions below.

Explanation:

This question tests on the concept of graph reading.

To find the slope of a line, we have to use the following formula:

`(y2 - y1)/(x2 - x1)`

Now, we can pick 2 random points on the line to substitute the values in to find the slope.

We will pick

(0, 3) as (x1, y1)

and

(2,0) as (x2, y2)

Therefore the slope will be:

`(0 - 3)/(2 - 0) \\ = ( - 3)/(2) \\ = - (3)/(2)`

Now to find the y-intercept, as the name suggests, it is the point where the line intercepts the y-axis (vertical axis) , in this case, it is 3.

The point of this intercept is (0,3).