Question

A line passes through the point four comma negative one and has a slope of three-halves. If you use this slope to generate another point on the line, what are the coordinates of that point?

Answer 1

@ParthKohli

Answer 2

Hi!

I remember you from yesterday. Let's recap on what a slope is.

Answer 3

The slope is defined as

rate of increase of y
divided by
rate of increase of x

Answer 4

So here, the slope is given as 3/4. Meaning that the ratio of increase of y divided by the ratio of increase of x is 3/4.

Now, that, in turn means that if x increases by 1, then y increases by 3/4.

Answer 5

Do you follow till here?

Answer 6

Yeah

Answer 7

@ParthKohli

Answer 8

So you are given that x = 4 and y = -1 is a solution to this equation.

Answer 9

You already know that if you add 1 to x, then you add 3/2 to y.

Answer 10

I'm sorry... in the above post I meant 3/2 as well.

Answer 11

So, add 1 to x and 3/2 to y.

x = 4
y = -1

Answer 12

1 + 4 = 5, and -1 + 3/2 = 2/4

Answer 13

And simplifies to 1/2

Answer 14

And so, (5,1/2) is a point.

Answer 15

There isn't a choice that says (5, 1/2

Answer 16

)

Answer 17

Nevermind.

Answer 18

You have choices?

Answer 19

I already got the answer (6,2)