Answer:
5: B
6: B
Step-by-step explanation:
For 5 all you have to do is look for the line that has a slope of 2
The only line that has a slope of 2 is line 2 therefore your answer is B
For 6
Slope intercept form - y = mx + b
where y = slope and b = y intercept
first lets find the y intercept
y intercept (b) = y value of the coordinate ( More specifically the coordinate where the line passes the y axis. )
The line passes the y axis at point (0,2)
The y value of that coordinate is 2 so the y intercept is 2, Hence b = 2
now we have y = mx + 2
Now let's find the slope.
Slope = change in y over change in x.
For this line as y goes up 1, x goes up 3
So the slope would equal 1 over 3
We then plug in 1/3 for m in the slope intercept equation
We would be left with [tex]y=\frac{1}{3} x+2[/tex] which corresponds with answer choice B
