Question

How do you write the equation in point slope form given (-1,2) and parallel to the line whose equation is 3x-2y=7?

Answer 1

`y-2=3/2(x+1)`

Explanation:

`"the first thing to know is that"`

`• " parallel lines have equal slopes"`

`"to obtain the slope rearrange "3x-2y=7`
`"into "color(blue)"slope-intercept form"`

`•color(white)(x)y=mx+b`

`"where m represents the slope and b the y-intercept"`

`3x-2y=7`

`rArr-2y=-3x+7`

`rArry=3/2x-7/2larrcolor(red)" in slope-intercept form"`

`rArrm=3/2`

`"expressing the equation in "color(blue)"point-slope form"`

`•color(white)(x)y=y_1=m(x-x_1)`

`"with "m=3/2" and "(x_1,y_1)=(-1,2)`

`rArry-2=3/2(x+1)`