slope is -2 and (4,3) is on the line . write in standard form

Answer 1

We can do this 2 ways, either by using point-slope form, or by plugging in what we have and solving for b.

y - 3 = -2(x - 4)

y - 3 = -2x + 8

y = -2x + 11

2x + y = 11

or...

3 = -2(4) + b

3 = -8 + b

b = 11

y = -2x + 11

2x + y = 11

Answer 2

slope-intercept form: y = mx + b, m is the slope and b is the y-intercept (where x = 0)

You are given m = -2

To find b, plug in the given values for x and y, and solve for b.