Question

How do you write the equation given slope 2 and passes through (-2,-5)?

Answer 1

The answer is in point slope form.

`2x-y-1=0`

Explanation:

`(y-y_1)=m(x-x_1)`

`(y-(-5))=2(x-(-2))`

`y=2x-(-4)+(-5)`

`y=2x-1`

`2x-y-1=0`

Answer 2

`y=2x-1`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"here "m=2`

`rArry=2x+blarrcolor(blue)"is the partial equation"`

`"to find b substitute "(-2,-5)`
`"into the partial equation"`

`-5=-4+brArrb=-5+4=-1`

`rArry=2x-1larrcolor(red)"in slope-intercept form"`