Answer:
The equation for the line that is shown is: Answer choice C.
[tex]y =\frac{1}{2}x+2[/tex]
Step-by-step explanation:
From what I can see, there is several clues that can lead us to our answer by just looking at the graph:
- y - intercept
- Whether if the slope is positive or negative
A. Your y - intercept is where your line crosses at a point on the y - axis, so your y - intercept is:
If you do not know, the y - intercept form in slope - intercept form is the 'b' value:
[tex]y = mx + b[/tex]
[tex]b =[/tex] y - intercept
[tex]mx =[/tex] slope (m is actually the letter that represents it, but thought I might include x in it to show you from the formula)
Now that you have found your 'b' value, you can eliminate several answer choices: Answer choice B. and D.
B. Now we will see if the slope is positive or negative.
To find out whether it is positive or negative, we would have to take a look at the direction of the line, in this case, the line is going upwards to the right, meaning the slope is positive.
C. Now to find the slope:
To do this we must know the fraction like form of a slope, this would be:
(m = slope)
To determine the slope, m, it is [tex]\frac{RISE}{RUN}[/tex]
'Rise' meaning the y point and 'run' being the x point
In this case:
the line rises up 1 and runs over 2
so, m = [tex]\frac{1}{2}[/tex]
Your final answer will be:
[tex]y =\frac{1}{2}x+2[/tex]
