Question

What is the equation of the line passing through the points( 29 ) and 2) in slope-intercept form?O y-zx-3O y-3x+o y = 2 x - 22O x- x+Mark this and retumSave and ExitNexSubmit

Answer 1

The slope-intercept form is

`y=mx+b`

First we find m which is defined as rise / run

`m=\frac{\text{rise}}{\text{run}}=(y_1-y_2)/(x_1-x_2)`
`\Rightarrow m=(((11)/(12))-((19)/(20)))/(((1)/(3))-((2)/(5)))`
`m=(1)/(2)`

And finally, we find the y-intercept b from one of the points given.

Let us use the point (1/3, 11/12).

`(11)/(12)=(1)/(2)((1)/(3))+b`
`(11)/(12)=(1)/(6)+b`
`b=(11)/(12)-(1)/(6)`
`b=(3)/(4)`

Hence, the equation of the line in slope-intercept form is

`y=(1)/(2)x+(3)/(4)`

which is the second choice in the column.