# Thread: The practice paper based test on the ets website

1. Good post? |

## One more correction in this answer.

For the question , In the XY plane, find the following,
(c) The Y intercept of a line with slope 3 that passes through the point (-2,1)
From the Ques, we can say Y= 3x+b Now plug in the value (-2,1) ,
1= 3( -2) + b
1+6 = b
7= b ( Thats the answer for the C )
So, y = 3x -7 is the equation
Now coming to the (d) The x- intercept of the graphs in (a),(b),(c)
X- intercept means y=0
(a) 2y+x= 6
Since Y= 0, x= 6(thats the answer)
(B) Y=X/3 +1
Since Y=0, X= -3(thats also the answer)
(c) Y= 3x-7
Since Y= 0, x= -7/3 (also te answer)

2. Good post? |

## Re: The practice paper based test on the ets website

I have a quick question about D.

Originally Posted by twohundredping
19.
(a) We can put the equation in slope intercept form where it is easy to see the slope and y-intercept.
Slope intercept form: y = m*x + b, where m is the slope and b is the y-intercept
2y + x = 6
2y = 6 - x
y = 3 - x/2 = -x/2 + 3 = -1/2 * x + 3

Therefore, the slope is -1/2 and the y-intercept is 3.

(b) Here they gave us one point (3, 2) and told us the y-intercept is 1. There are two approaches we can use to solve the problem from here.

Approach 1:
y = m*x + b
Since the y-intercept is 1, b = 1
y = m*x + 1
Now we can plug in the point (3,2) for x and y.
2 = m * 3 + 1
1 = 3m
m = 1/3
So the equation of the line is:
y = 1/3 * x + 1

We can plug in the point (3,2) to verify that we did everything correctly

Approach 2:
Since the y-intercept is 1, we know that b = 1 and that the point (0, 1) is on the line.
Now we can find the slope between (3,2) and (0,1) as:
(2 - 1) / (3 - 0) = 1/3
Now we can give the equation of the line as:
y = 1/3 * x + 1

We can plug in the point (3,2) to verify that we did everything correctly

(c) y = 3 * x + b
Now plug in the point they give you.
1 = 3 * 2 + b
-5 = b
So y = 3 * x - 5 is the equation of the line.

(d) The x-intercept is the point where y = 0.
x-intercept of (a): 2x + 0 = 6
x = 3 is the x-intercept

x-intercept of (b): 0 = 1/3 * x + 1
-1 = 1/3 * X WHat did you do here to get -3?
x = -3 is the x-intercept Can you help me understand how you got this -3?

x-intercept of (x): 0 = 3 * x - 5
5 = 3 * x
x = 5/3 is the x-intercept

3. Good post? |

## Re: One more correction in this answer.

on D, part B....how did you get -3? I cant figure it out