Find the equation of the line satisfying the given conditions. Write the equation in the form y = mx + b. Through (3, 1), and (−1, 4)

Question

Find the equation of the line satisfying the given conditions. Write the equation in the form y = mx + b.

Through (3, 1), and (−1, 4)

Answer 1

(3,1), (-1,4) have a line through them with slope = (4-1)/(-1-3) = -3/4

y-1 = (-3/4)(x-3) is the equation in point slope form

or

y = (-3/4)x +13/4

or

y = -0.75x + 3.25

in slope intercept form, which is the form you want,

the y=mx +b form

where m=slope=-3/4= -.75 and b= the y intercept = 13/4 = 3.25

or

3x +4y = 13 in standard form