Question

What is the equation of the line with slope `m= 7/4` that passes through `(-21,4)`?

Answer 1

`y=7/4x+163/4`

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=7/4`

`y=7/4x+blarrcolor(blue)"is the partial equation"`

`"to find b substitute "(-21,4)" into the partial equation"`

`4=-147/4+brArrb=16/4+147/4=163/4`

`y=7/4x+163/4larrcolor(red)"is an equation of the line"`