Solve 700-Level Algebra Qs In 90 Secs!
Master 700-level Inequalities and Absolute Value Questions

Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.

FREE GMAT ALGEBRA WEBINAR
Live: 4th June 2023, 7am-9am PST
Presented by e-GMAT

## What is the $$X$$ intercept of non-horizontal line $$m?$$

##### This topic has expert replies
Legendary Member
Posts: 2276
Joined: Sat Oct 14, 2017 6:10 am
Followed by:3 members

### What is the $$X$$ intercept of non-horizontal line $$m?$$

by VJesus12 » Thu Jul 30, 2020 10:37 am

00:00

A

B

C

D

E

## Global Stats

What is the $$X$$ intercept of non-horizontal line $$m?$$

(1) The slope of $$m$$ is 4 times the $$y$$-intercept of $$m.$$
(2) The $$y$$-intercept of line $$m$$ is $$-2.$$

[spoiler]OA=A[/spoiler]

Source: Manhattan GMAT

Junior | Next Rank: 30 Posts
Posts: 13
Joined: Tue Jul 28, 2020 9:01 pm

### Re: What is the $$X$$ intercept of non-horizontal line $$m?$$

by terminator12 » Thu Jul 30, 2020 6:00 pm

00:00

A

B

C

D

E

## Global Stats

Consider a line: y = mx + c

Slope = m
X intercept (when y = 0) = $$\frac{-c}{m}$$
Y intercept (when x = 0) = c

Statement 1:
m = 4*c
We see $$\frac{-c}{m}$$ = $$\frac{-1}{4}$$
Hence, this is sufficient.

Statement 2:
c = -2
We have no information on m
Hence, this is insufficient.

Legendary Member
Posts: 2120
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

### Re: What is the $$X$$ intercept of non-horizontal line $$m?$$

by swerve » Fri Jul 31, 2020 4:55 am

00:00

A

B

C

D

E

## Global Stats

VJesus12 wrote:
Thu Jul 30, 2020 10:37 am
What is the $$X$$ intercept of non-horizontal line $$m?$$

(1) The slope of $$m$$ is 4 times the $$y$$-intercept of $$m.$$
(2) The $$y$$-intercept of line $$m$$ is $$-2.$$

[spoiler]OA=A[/spoiler]

Source: Manhattan GMAT
Line is $$y=mx+c$$

1) $$y=4cx+c$$

for $$x$$-intercept $$y =0$$.
So, $$c(4x+1)=0$$. $$c$$ can't be zero here. So, $$x=-\dfrac{1}{4}$$. Sufficient $$\Large{\color{green}\checkmark}$$

2) Doesn't say much. Insufficient $$\Large{\color{red}\chi}$$

Hence, A

• Page 1 of 1