Find an equation of the line with the given slopes that passes through the given point. write the equation in the form Ax+By=C for ( 6,-8 ) and ( 4,8 )

Answer 1

The slope, rise over run, is (8 - (-8)) / (4 - 6) = 16/(-2) = -8

You may, once and forever, convert Ax+By=C to slope-intercept form (y=mx+b) and find that m=(-A/B).

The formula for the line is: 8x + y = C

Now, put in either point to find C.

8(6) + (-8) = C

40 = C

The equation of the line s: 8x + y = 40

Answer 2

( 6,-8 ) and ( 4,8 )

y = mx + b

m = (8 - -8)/(4 - 6) = 16/-2 = -8 This s the slope.

Substitute a set of points:

y = -8x + b

8 = (-8)(4) + b

Solve for b:

8 = -32 + b

b = 40 This is the y intercept.

y = -8x + 40

8x + y = 40