Question

Find equation of line due rn PLEASE HELPPPP

Answer 1

The equation of the line is y =
`(3)/(4)` x + (-2)

Explanation:

The slope-intercept form of the linear equation is y = m x + b, where

• m is the slope

• b is the y-intercept ⇒ value of y at x = 0

The rule of the slope is m =
`(y2-y1)/(x2-x1)` , where

• (x1, y1) and (x2, y2) are 2 points on the line

From the given figure

∵ The line passes through points (0, -2) and (8, 4)

∴ x1 = 0 and y1 = -2

∴ x2 = 8 and y2 = 4

→ Substitute them in the rule of the slope above to find it

∵ m =
`(4--2)/(8-0)` =
`(4+2)/(8)` =
`(6)/(8)` =
`(3)/(4)`

∴ m =
`(3)/(4)`

→ Substitute it in the form of the equation

∴ y = =
`(3)/(4)` x + b

∵ b is the value of y at x = 0

∵ At x = 0, y = -2

∴ b = -2

→ Substitute it in the equation

∴ y =
`(3)/(4)` x + (-2)

∴ The equation of the line is y =
`(3)/(4)` x + (-2)