Question

……..Help me thank you

Answer 1

`y=(3)/(2) x+0`

Explanation:

Slope-intercept form is y = mx + b

We want to find m, and b

To find m (slope):

Use the slope formula

`(y_(2) - y_(1))/(x_(2) - x_(1))`

Find two points (coordinates) on the graph where the line touches

(0,0) =
`(x_(1),y_(1) )`

(2,3) =
`(x_(2),y_(2) )`

Plug in the values

`(3 - 0)/(2 - 0) = (3)/(2)`

m =
`(3)/(2)`

To find b (y - intercept) , look for the place where x = 0

Here it is (0,0)

so our y intercept is 0

Finally put everything into the equation

`y=(3)/(2)x+0`

Answer 2

y = 3/2x + 0

Explanation:

• Line is passing through the points (0, 0) & (2, 3)

• -> y-intercept (b) = 0 & Slope (m) = (3-0)/(2-0) = 3/2

• Equation of line in slope-intercept form is given as: y = mx + b

• Plug the values of m and b in the above equation, we find:

• y = 3/2x + 0