Question

Write an equation of the line in slope-intercept form.

Answer 1

Answer:

y=mx+b where m is the slope and b is where the line crosses the y axis.

THe line crosses the y axis at 0, 2 so 2 = b

the slope is how many units the point goes up/down and to the left/right from the y intercept. From 0, 2 to 3, 3 the point goes up 1 and over to the right 3 times. rise/run is slope so 1/3 is the slope:

y=1/3x+2

Step-by-step explanation:

Answer 2

Answer:

Y= -1/3x + 4

Step-by-step explanation:

Slope equation= y2 - y1/x2 -x1

Subtract 2-3/ 0-3 = -1/3

Choose an ordered pair to use for this problem. I chose 3,3.

Y-intercept equation- y = mx + b

3 = -1/3 * 3 + b

Multiply-1/3 * 3

3 = -1 + b

Add 1 to get rid of -1 and get b alone

3 + 1 = -1 + 1 +b

4= b

Now plug in your numbers to your equation.

Y= -1/3x + 4