Question

How do you write an equation in standard form for a line with a slope of 1/4 and goes through point (4, 0)?

Answer 1

`x-4y=4`

Explanation:

`"the equation of a line in "color(blue)"standard form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))`

`"where A is a positive integer and B, C are integers"`

`"to begin express the equation in "color(blue)"point-slope form"`

`•color(white)(x)y-y_1=m(x-x_1)`

`"where m is the slope and "(x_1,y_1)" a point on the line"`

`"here "m=1/4" and "(x_1,y_1)=(4,0)`

`rArry=1/4(x-4)`

`rArry=1/4x-1`

`"multiply all terms by 4"`

`rArr4y=x-4`

`rArrx-4y=4larrcolor(red)"in standard form"`