Question

Please help me...................

Answer 1

`y = (4)/(3)x + 2`

Explanation:

Find the equation for the line in slope-intercept form:
`y = mx + b`

where m is the slope (gradient) and b is the y-intercept.

To find the slope (m)

Choose 2 points on the line: (0, 2) and (6, 10)

Let (0, 2) =
`(x_1,y_1)`

Let (6, 10) =
`(x_2,y_2)`

Use the slope formula:
`m=(y_2-y_1)/(x_2-x_1) =(10-2)/(6-0) =(4)/(3)`

Therefore,
`y = (4)/(3)x + b`

To find the y-intercept

The y-intercept is when x = 0 (where the line intersects the x-axis).

By inspection, the line intersects the y-axis at y = 2.

Therefore, y-intercept = 2

So,
`y = (4)/(3)x + 2`