Question

PLEASE !!! don’t want to sound rude but I could really, really use some help. thank you so much if you answer !

Answer 1

`y = x - 2`

Explanation:

The slope-intersect form of the equation of a line is:

`y = mx + b`

where m is the slope, and (0, b) is the y-intercept.

First, look at the y-intercept. The y-intercept is the point of intersection of the line and the y-axis. In this case, the point of intersection is (0, -2). That means that b = -2.

Now we find the slope. We see two points on the line, (0, -2) and (3, 1). Start at (0, -2). To go from point (0, -2) to point (3, 1), first you go 3 units up. That is a change in y of +3. Then you go 3 units right. That is a change in x of +3.

`slope = m = (change in y)/(change in x)`

Now we can find the slope of this line.

`slope = m = (change in y)/(change in x) = (3)/(3) = 1`

Now that we know the slope, 1, and the y-intercept, -2, we use the first equation above to write the equation of the line in the slope-intercept form.

`y = mx + b`

`y = 1x + (-2)`

`y = x - 2`

Answer 2

y = x - 2

Explanation:

y=mx+b

First find the slope:

rise over run is 3/3 which is equal to 1

m = 1

Second find y intercept: (where the line crosses the y-axis)

b = -2

Third, plug in your values to the slope intercept form:

y=mx+b

m=1

b=-2

y = 1x - 2