Question

graph the following features:

• y-intercept = -3
• slope = $-\frac{2}{5}$

(there is a coordinate plane graph with x and y axes from -10 to 10, and a blue arrow pointing to (0, -3))
answer attempt 2 out of 2
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Explanation:

Step1: Plot the y - intercept

The y - intercept is - 3, so we plot the point (0, - 3) on the coordinate plane.

Step2: Use the slope to find another point

The slope is $-\frac{2}{5}$, which means for a run of 5 (change in x - value), the rise is - 2 (change in y - value). Starting from (0, - 3), if we move 5 units to the right (x increases by 5) to x = 5, then we move 2 units down (y decreases by 2) from y=-3 to y=-3 - 2=-5. So we get the point (5, - 5). We can also move 5 units to the left (x decreases by 5) to x=-5 and 2 units up (y increases by 2) to y=-3 + 2=-1, getting the point (-5, - 1).

Step3: Draw the line

Draw a straight line passing through the points we found, such as (0, - 3) and (5, - 5) (or other points obtained from the slope).

Answer:

To graph the line:

1. Plot the point \((0, - 3)\) (the y - intercept).
2. Using the slope \(m =-\frac{2}{5}\), from \((0, - 3)\), move 5 units right and 2 units down to get \((5, - 5)\), or 5 units left and 2 units up to get \((-5, - 1)\).
3. Draw a straight line through these points.