Question

Find the slope (m) and y -intercept (b) of the equation in standar form 2x-3y=6​

Answer 1

y- intercept is (0, -2)

slope is 2/3

Explanation:

find 2 points on the line:

2x-3y=6

1/2*(6+3y) =x

if y is 2, x is 6 ((6,2))

if y is 4, x is 9 ((9, 4))

y-intercept is when x = 0.

0-3y=6

y=-2

slope is (y2-y1)/(x2-x1): choose y2 and the corresponding x-coordinate is x2. then the others are the 1's. let's use 4 as y2 which means:

x2 = 9

x1 = 6

y1 = 2

then plug in and solve.

(4-2)/(9-6)

= 2/3

m = 2/3

Hope this helps!

Answer 2

m =
`(2)/(3)` , b = - 2

Explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Given

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide all terms by - 3 )

y =
`(2)/(3)` x - 2 ← in slope- intercept form

with slope m =
`(2)/(3)` and y- intercept b = - 2