Question

Write the equation of the line in fully simplified slope intercept form​

Answer 1

Answer:

$y = \dfrac{5}{2}x - 4$

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

where m = slope, and b = y-intercept.

From the graph, we see that the y-intercept, b, is -4, so now we have

y = mx - 4

Now we need to find the slope from the graph.

We see that the points (0, -4), the y-intercept, and (2, 1) are points of the line.

slope = rise/run

rise is a vertical distance. (Up is positive; down is negative.)

run is a horizontal distance. (Right is positive; left is negative.)

Start at (0, -4). Go up 5 units. That is a rise of +5 since you went up. Now go 2 units to the right. That is a run of +2 units since you went right. The rise is 5, and the run is 2.

m = slope = rise/run = 5/2

The equation is

$y = \dfrac{5}{2}x - 4$