Question

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

Answer 1

y = 5x/6 + 6

Explanation:

equation of a line is y = mx +b

m is the slope.

m = (y2- y1)/(x2-x1)

if we choose any two points in the line of the image..

p1 (6,10) -> x2 is 6, y2 is 10

p2 (0,5) -> x1 is 0, y2 is 5

m = (10-5)/(6-0)

m = (5)/(6)

m = 5/6

b is calculated when x = 0. (Where the line intercepts the y axis), Looking at the line in the image I can see that y = 6 when x = 0, so b = 6.

We have then

y = mx +b

y = (5/6)x + 6

y = 5x/6 + 6

Answer 2

y = 5x/6 +5

Explanation:

Points (-6,0) and (6,10)

Getting the slope

m = 10-0/6- (-6)

m=10/12

m=5/6

Solving for the equation:

where (-6,0) :

y-y1=m (x-x1)

y-0 = 5/6 (x- (-6))

y = 5/6 (x-+6)

y = 5x/6 +5