Question

What is an equation in point-slope form for the line that passes through the points (4,−1) and (−3,4) ?

A: y+4=−5/7(x+3)

B: y+4=5/7(x+3)

C: y−3=−5/7(x+4)

D: y−4=−5/7(x+3)

Answer 1

very simple !!

first find the slope

so slope comes out to be

=> y2-y1 / x2-x1



=> 4-(-1) / -3-(4)

5/-7

or => -5/7

now ,

equation of the line

y - (4) = -5/ 7 ( x +3 )

y -4 = -5/7 ( x +3 )

hope it help you !!

thanks !!

Answer 2

Hey!!

Equation of line passing through points ( 4, -1 )
and ( -3,4 ) having slope m is given by.

y -y1 = m ( x -x1 )

y1 = 4. ,. x1 = -3. and m. = -4 -1 / 3 +4

y -4 = - 5 / 7 ( x +3)


Have a nice time.