Question

Write the slope-intercept equation of this line.

when the answers are

A. y=-2x-3
b. y=2x-5
c. y=-1/2x-5
d.y=-1/2x-3

​

Answer 1

D

Used desmos graphing calculator

Answer 2

`y=-(1)/(2) x-3`

Explanation:

Hi there!

Slope intercept form:
`y=mx+b` where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

The slope of a line is the same as its
`(rise)/(run)`, or in other words, the number of units the line moves upwards over the number of units the line moves to the right.

In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is
`-(1)/(2)`. This is negative since it is traveling downwards.

Plug
`-(1)/(2)` into
`y=mx+b` as m:

`y=-(1)/(2) x+b`

2) Determine the y-intercept

In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into
`y=-(1)/(2) x+b` as b:

`y=-(1)/(2) x-3`

I hope this helps!