Question

Find the equation of the line.
Use exact numbers.

Answer 1

y = 2/3x + 4

Explanation:

Slope-Intercept Form: y = mx + b

The line is clearly linear, so the above applies

The points with x = 0 and x = 1 vary in y by 2/3, making the slope = 2/3. The y intercept in the graph is 4, making b = 4

Answer 2

The equation would be y=2/3x+4

So to finish the equation, you would need the slope and the y-intercept. The y-intercept is where the line hits the y-axis. So it hits the y-axis at (0,4), making the y-intercept 4.

Next find the slope. Do this by picking two points and plugging it into the equation

y2-y1/x2-x1

(0,4) (3,6)

6-4/3-0

2/3

So it would be y=2/3x+4