find the equation of the line satisfying the given condition

find the equation of the line satisfying the given condition .write the equation in the form y=mx+b. if points through (3,1) and ( -1,4)

Let the standard form of a linear equation is y = mx + b

the coordinates of the two points in ordered pairs are (3,1) and -1,4)

m = (y2-y1)/(x2-x1)

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

m =3/-4

substitute one of the two ordered pairs for x and y, and substitute the slope you calculated in Step 2 for m

y = mx + b into 1 = (3/-4)(3) + b, or 1 = 9/4 + b. i.e b=-5/4

so the standard form of a linear equation is y = mx + b( placing the value)

we get y=-3/4x + -5/4

y=-1(3x+5)/4

4y=3x+5