John drew the line of best fit on the scatter plot shown.

what is the equation of this line of best fit in slope-intercept form?

a. y=2x + 6/5

b. y= 5/6x +2

c. y=2x + 5

d. y=6/5x + 2

Answer=D

Slope-intercept form: y=mx+b (where m=slope and b=y-intercept)

a. y=2x+6/5

b. y=5/6x+2

c. y=2x+5

d. y=6/5x+2

Just by looking at the best fit line, we can see that the y-intercept is 2. There are only two options that have a y-intercept of 2; b and d. Now we can narrow the options.

b. y=5/6x+2

d. y=6/5x+2

Slope is rise over run, or y/x, using this method, lets see which option has the correct slope. 

Starting from the y-intercept (0,2), if we go up 5 spaces and to the right 6 spaces, do we hit a point on the line? No, we don't, so b is incorrect.

Starting from the y-intercept (0,2), if we go up 6 spaces and to the right 5 spaces, do we hit a point on the line? We do!! Therefore, d is the correct equation.