Question

Find a point-slope form with slope 1/2 and passing through the point (-7,-1)

Answer 1

x-2y+5=0

Explanation:

y+1=
`(x+7)/(2)`

y=
`(x+7)/(2)` -1

y=
`(x+7-2)/(2)`

y=
`(x+5)/(2)`

2y=x+5

x-2y+5=0

Answer 2

The equation is:

⇨ y + 1 = 1/2(x + 7)

Work/explanation:

Recall that the point slope formula is
`\rm{y-y_1=m(x-x_1)}`,

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

`\rm{y-(-1)=(1)/(2) (x-(-7)}`

Simplify

`\rm{y+1=(1)/(2)(x+7)}`

Hence, the equation in point slope is y + 1 = 1/2(x + 7).