Question

Which graph best represents the equation of the line that has a y-intercept of 2 and a slope of 1/2?
@asnaseer Don't give me the answer, help work it out? :)

Answer 1

ok - fist work on the y-intercept - you are told that the y-intercept is 2
so which graph(s) can it be from just that information?

Answer 2

remember that the y-intercept is where the line crosses the y-axis

Answer 3

A, C or D?

Answer 4

perfect! :)

now the next bit of information to use is that the slope is 1/2

Slope negative means the line FALLS as we go from left to right
Slope zero means the line would be HORIZONTAL
Slope positive means the line RISES as we go from left to right

so now which ones are the likely candidates?

Answer 5

A or C?

Answer 6

perfect! :)

now we use the VALUE of the slope to find the final answer

slope is 1/2 which means for every TWO units we travel from left to right, the line RISES by ONE unit

remember slope = (change in y) / (change in x)

use that to see if you can spot which one is the correct answer

Answer 7

look at where the graphs of A and C cross the y-axis
then move TWO units to the right from there (HORIZONTALLY)
and see how much the line RISES by

Answer 8

C?

Answer 9

The graph for C is something like this: