Question

Use the labled point to write a point slope form for the line

Answer 1

The point-slope form of the line is y - 3 = -2(x + 2)

Explanation:

The point-slope form of the equation of a line is

y - y1 = m(x - x1), where

• (x1, y1) is a point on the line

• m is the slope of the line

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

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

Let us use these rules to solve the question

∵ (-2, 3) and (0, -1) are two points on the line

∴ x1 = -2 and y1 = 3

∴ x2 = 0 and y2 = -1

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

∵ m =
`(-1-3)/(0--2)=(-4)/(0+2)=(-4)/(2)=-2`

∴ m = -2

→ Substitute the value of m and point (-2, 3) in the form of the

equation above

∵ m = -2 and (x1, y1) = (-2, 3)

∴ y - 3 = -2(x - -2)

→ Remember (-)(-) = (+)

∴ y - 3 = -2(x + 2)

∴ The point-slope form of the line is y - 3 = -2(x + 2)