Question

Find the equation of the line passing through the points 3, 3 and 4, 5

Answer 1

y - 3 = 2(x - 3)

Explanation:

Please use parentheses to indicate points: the points 3, 3 and 4, 5 should be written as (3, 3) and (4, 5).

As we move from the first point to the second, x increases by 1 and y increases by 2. Thus, the slope of the line connecting these two points is m = rise / run = 2 / 1 = m = 2

Using the point-slope formula y - k = m(x - h), we obtain:

y - 3 = 2(x - 3)

Answer 2

`y=2x-3`

Explanation:

The equation of a line is:

`y = mx+b`

• m is the slope
• b is the y-intercept

`m=(5-3)/(4-3)`

`m=(2)/(1)`

`m=2`

`y=2x+b`

`(3, \: 3)`

`y=mx+b`

`3=2 * 3+b`

`b=3-(2)(3)`

`b=-3`

`y=2x+-3`