Question

Write an equation in slope-intercept form for the line that passes through (3, -2) and is parallel to the equation: y=x+4 ?

Answer 1

`y=x-5`

Explanation:

Slope of given line is 1
and we want to find out Equation of line that passes through (3,-2) And parallel to given line so the slope will be 1 for desired line
In slope form equation is given
by
`(y-y_1) = m(x-x_1)`

so Equation become.
`(y+2) = 1(x-3)`
`rArr` `y = x-5`

Answer 2

Equation of the line in slope-intercept form is `y= x-5`

Explanation:

Slope of the line, `y= x+4 ; [y=m x+c]`

is `m= 1` [Compared with slope-intercept form of equation]

Parallel lines have equal slopes . Therefore the slope of the

the line passing through `(3, -2)` is also `m=1`

Let the equation of line in slope-intercept form be `y=m x+c`

or `y=1*x+c = x +c` The point (3,-2) will satisfy the equation .

`:. -2= 3+c or c= -2-3= -5`. Hence equation of

the line in slope-intercept form is `y= x-5` [Ans]