Ask your own question, for FREE!
Mathematics 17 Online
Joe348:

which solution equals f(x)=5/2x-1?

Joe348:

Joe348:

Mage:

if you find and apply the slope (aka the mx value or rise over run fraction) you will move up from an intercept on the graph by whatever number takes place over the numerator and across by the number of the denominator. in this case, the slope is 5/2 and the y-intercept is -1. so start by putting a dot at -1 (0, -1 since it's the intercept) and move up 5 units and to the right 2 units. plot where you end up afterwards and then connect the dots with a straight-edge. the line will be diagonal.

Joe348:

so the 1st one?

Mage:

the straight line?? no not at all, apply what i just said

Joe348:

I don't understand

Mage:

let me try to help you visualize

Joe348:

so if it's not the first one then the second and ok?

Mage:

1 attachment
Mage:

start at (0,-1), that's the intercept. put a dot.

axie:

Joe, you forgot to type in X for the first problem that's why the line is straight

axie:

It should be 5/2x not just 5/2

Mage:

That's....that's just an answer choice

axie:

I explained what he did wrong from those 2 answer choices

axie:

So therefore, the 2nd answer would be the most reasonable Or he could just use desmos.com proving as a accurate site to answer this problem

Mage:

or he could actually work it out, you know. like i explained

Mage:

i literally said it's going to be diagonal

axie:

Okay, I understand... I was just trying to explain what went wrong from my point of view

axie:

But if you feel if I'm interfering I will stop trying to help while you can

surjithayer:

surjithayer:

this is the graph of \[f(x)=\frac{ 5 }{ 2x-1 }\]

mxddi3:

Joe, the first image is a horizontal line, meaning we would have a slope of 0. The equation of this line would be something like "y=3" Now for the equation, we have a y-intercept of -1, meaning we must go to the point (0,-1) and plot a point on our graph. Then from there, we go up 5 on the y-axis, meaning we get to (0,1.5). Then we go over 2 spaces on the x-axis to the point (1,1.5) So, image 2 is indeed the graph that represents the function.

Joe348:

Okay thank you, I understand what you mean

Joe348:

So like the first one would should be y=3 or y=1

Joe348:

so like whenever a line is like that it is always y=1 no X?

mxddi3:

oh that was just an example of what a line with an undefined slope is. For your specific graph, it's always y=# in your case y=1.5. do you see how i got the 1.5? because the graph is increasing by 0.5 each time.

Joe348:

No?

Joe348:

wait that 5/2?

Joe348:

like the sope? slope*

mxddi3:

the slope is 5/2, yes. But the interval in which your graph increases is 0.5. Each line represents 0.5 like such |dw:1636414524877:dw| each line represents 0.5

Joe348:

OH OKAY, thank you maddi

Joe348:

@mxddi3

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!