Question

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

Answer 1

Answer: y=2/3 x+ 5

Step-by-step explanation: Y= mx+ b

slope = rise over run. using the graph you see that you rise 2 units and then go right 3. So it is rise of 2 over the run of 3

Slope is : 2/3

b=Y-mX

Use the point (0, 5)

b=5- (2/3)X

b= 5- (2/3) (0)

b=5-0

b=5

Answer 2

y = 2/3x + 5

Explanation:

Slope-intercept form is represented as y=mx+b, m representing the slope (rise over run) of the line. b represents the y-intercept (where the line crosses the y-axis).

To determine the slope on this graph, start on the coordinates of (0,5). Locate the coordinates (3,7) as well. By looking at this graph, you can count how many units will "rise and run" until it reaches the next set of coordinates. Another way is by calculating the slope through this formula:

(y2 - y1) / (x2 - x1) = slope. This essentially represents the rise over run concept in terms of a formula being used.

While using both sets of the coordinates mentioned before, (0,5) and (3,7), you can determine the slope:

(7 - 5) / (3 - 0) = 2/3