Question

Which equation shows the point slope form of the line that passes through (3, 2) and has a slope of

2
y + 2 =
(x + 3)
Oy-2=3(x-3)
y+3= }(x+2)
©y-3=2x-2)
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Markthandie

Answer 1

y - 2 = 2(x - 3).

Explanation:

The point -slope form of a line is:

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

Here m = 2, x1 = 3 and y1 = 2. So we have the equation:

y - 2 = 2(x - 3).

Answer 2

`y=2x-4`

Explanation:

Given: The line passes through (3, 2) and has a slope of 2.

To find: Point slope form of the equation.

Solution: We know that the point slope form of the line passing through
`\left ( x_(1),y_(1)\right )` and slope m is
`y-y_(1)=m\left ( x-x_(1) \right )`

Here,
`x_(1)=3,\ y_(1)=2, \text{and} \:\:m=2`

So we have,

`y-2=2(x-3)`

`y-2=2x-6`

`y=2x-4`

Hence, the point slope form of the line is
`y=2x-4`.