Question

Which of the following equations has a graph that passes through (3, 3) and has a slope of −2?

Answer 1

y = -2x+9

Explanation:

We have a point and a slope

y = mx+b where m is the slope and b is the y intercept

y = -2x +b

Substitute the point in

3 = -2(3)+b

3 = -6+b

Add 6

3+6 = -6+6+b

9 = b

y = -2x+9

Answer 2

y - y1 = m(x - x1)

y - -3 = 3(x - 1)

y + 3 = 3x - 3

y = 3x - 3 - 3

y = 3x - 6

y = 3x - 6

Explanation:

Thie equation is in slope-intercept form (y = mx + b)

The y-intercept is -6 .... ((0, -6) is one point on the line.

It is given that (1, -3) is also on the line. So to graph, plot those

2 points and connect them with a line.