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

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Answer 1

Answer:

$y=-\frac{1}{2} x-3$

Step-by-step 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 $\frac{rise}{run}$, 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 $-\frac{1}{2}$. This is negative since it is traveling downwards.

Plug $-\frac{1}{2}$ into $y=mx+b$ as m:

$y=-\frac{1}{2} x+b$

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 $y=-\frac{1}{2} x+b$ as b:

$y=-\frac{1}{2} x-3$

I hope this helps!

Answer 2

D

Used desmos graphing calculator