Question

Can someone answer this for me :)

Answer 1

Answer:      y = -2x+3

Slope = -2

y intercept = 3

==========================================================

Explanation:

Use the two points shown in the slope formula

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

m = (-3-3)/(3-0)

m = -6/3

m = -2

The slope of -2 can be thought of as -2/1

slope = -2/1 = rise/run

rise = -2 and run = 1

Each time we move down 2 units, we move to the right 1 unit.

The y intercept is b = 3 since this is the location where the line crosses the y axis.

We go from y = mx+b to y = -2x+3 as the final answer

---------------

To check the answer, let's plug in (x,y) = (0,3)

y = -2x+3

3 = -2(0)+3 ... replace x with 0 and y with 3

3 = 0+3

3 = 3 ... true equation

Now let's plug in (x,y) = (3,-3)

y = -2x+3

-3 = -2(3)+3 ... plug in x = 3 and y = -3

-3 = -6+3

-3 = -3 .... also true

Because both points make the equation y = -2x+3 true, this confirms we have the correct equation.

Answer 2

Answer:

y = -2x + 3

Step-by-step explanation:

y = mx + b

slope = m

m = y2 - y1/x2 - x1

-3 - 3/3 - 0 = -6/3

m = -2

y = -2x + b

b = y-intercept

b = 3

y = -2x + 3