Question

HELP ASAP PLEASE!!!!!!

Answer 1

y = x/2

Explanation:

y = -x has a negative slope so cross this one out.

y = 2x has a steeper slope that would be above the black line so cross this one out

y = 0.001x has a slope that acends very slowly so cross this one out.

y = x/2 is the best match.

Answer 2

Some terminology:

⇒what is the slope

⇒ is the steepness of the line

⇒calculated by dividing the rise over the run

⇒ rise is the change in the y-direction

⇒ run is the change in the x-direction

⇒look at the diagram I attached

⇒ how to find the slope in a linear equation

⇒look to the coefficient of the 'x' variable

⇒ that is the slope

Ex. For the line y = x, the slope is 1

⇒A line with a positive slope rises from left to right while a line with a negative slope falls from left to right.

Ex. y=x has a positive slope and thus is rising

We want to find the equation that could represent the blue line

⇒ let's look into each equation and see whether they work or not

First case:
`y = -x`

⇒The equation given has the line falling, when the graph in the

equation is rising

⇒ not the answer

Second case:
`y=2x`

⇒ the equation given has the line that has a bigger slope than the

the equation shown, which has a smaller slope than y = x

⇒ not the answer

Third case:
`y=(1)/(2)x`

⇒ the equation given fits the requirement of having a rising slope that

is smaller than y = x

⇒ is a possible answer

Fourth case:
`y = 0.001x`

⇒ the equation given has a slope that is almost horizontal when the

line shown in the graph doesn't

⇒ not the answer

Thus after examing all the choices:

⇒ Answer:
`y=(1)/(2)x`