A line whose slope is -1/4 passes through the points (4, 3) and (x, 1)

Question

A line whose slope is  -\frac{1}{4}  passes through the points (4, 3) and (x, 1). What is the value of x?

A. −12

B. −4

C. 0

D. 8

E. 12

CrackverbalGMAT · Answer

The equation of the slope of a line passing through the points  (x_1, y_1) \space (x_1, y_1)  is given by the equation

Slope =  \frac{y_2 \space - \space y_1}{x_2 \space - \space x_1}

The slope give here is  -\frac{1}{4}  and the points are (4,3) and (x,1)

Putting the values in the equation above, we get  -\frac{1}{4} = \frac{1 - 3}{x - 4}

Solving, we get -1 * (x - 4) = -2 * 4

x - 4 = 8

x = 12

Option E

Arun Kumar

RaghuveerTR · Answer

Equation of line is y = (-1/4) x + c

(4,3) lies on the line ==> 3 = ((-1/4)*4)+c ==> c=4

Equation of the line is y = (-1/4) x + 4

(x,1) lies on the line 1 = ((-1/4)*x) + 4 ==>  x = 12

Abhishek009 · Answer

\frac{3 - 1 }{ 4 - x} = -\frac{1}{4}

Or,  -4 + x = 8

Or,  x = 12 , ANswer must be (E)

MathRevolution · Answer

A line passing through the points  (x_1, y_1)  and  (x_2, y_2)  has slope m =  \frac{(y_2 - y_1) }{ (x_2 - x_1)}

=> Points (4, 3) and (x, 1) and the slope is  \frac{-1}{4}

=>  \frac{(1 - 3) }{ (x - 4)} = \frac{-1}{4}

=> 4 * (-2) = -1 * (x - 4)

=> - 8 = -x + 4

=> x = 12

Answer E

BrushMyQuant · Answer

↧↧↧ Weekly Video Solution to the Problem Series ↧↧↧

https://www.youtube.com/watch?v=VvfjUHf2wjA

Given that A line whose slope is  -\frac{1}{4}  passes through the points (4, 3) and (x, 1). And we need to find the value of x?

Slope of the line passing through the points  (x_1, y_1)  and  (x_2, y_2)  is given by, m =  \frac{y_2 - y_1}{x_2 - x_1}

=>  -\frac{1}{4}  =  \frac{1 - 3}{x - 4} 
=> -x + 4 = -2*4 = -8
=> x = 4 + 8 = 12

So,  Answer will be E 
Hope it helps!

Watch the following video to learn the Basics of Slope of a Line

https://www.youtube.com/watch?v=5ETteseWChE

A line whose slope is -1/4 passes through the points (4, 3) and (x, 1)

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