Question

What is the equation of the line between `(-5,-8))` and `(-1,0)`?

Answer 1

`y=2x+2`

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"`

`"to calculate m use the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(-5,-8)" and "(x_2,y_2)=(-1,0)`

`rArrm=(0-(-8))/(-1-(-5))=8/4=2`

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

`"to find b substitute either of the 2 given points into"`
`"the partial equation"`

`"using "(-5,-8)" then"`

`-8=-10+brArrb=-8+10=2`

`rArry=2x+2larrcolor(red)"is equation of line"`