Question

How do you write an equation in slope intercept form given that the line passes through the point J(4, 1) with slope –4?

Answer 1

`y=-4x+17`

Explanation:

Given;
The line passes through the point J-=(4,1)
`m=-4`
intercept is given by
`c=b-ma`
where the line passes through (a,b)
a=4,b=1
`c=1-(-4)xx4`
`c=1+16`
`c=17`

Thus,
y=mx+c

`y=-4x+17`

Answer 2

`y=-4x+17`

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=-4`

`rArry=-4x+blarrcolor(blue)"is the partial equation"`

`"to find b substitute "(4,1)" into the partial equation"`

`1=-16+brArrb=1+16=17`

`rArry=-4x+17larrcolor(red)"in slope-intercept form"`