All GRE Math Resources
Example Question #1 : How To Find The Slope Of A Line
Refer to the following graph:
What is the slope of the line shown?
One can use either the slope formula m = (y2 – y1)/(x2 – x1) or the standard line equation, y = mx + b to solve for the slope, m. By calculation or observation, one can determine that the slope is –3.
Example Question #21 : Coordinate Geometry
What is the slope of the equation 4x + 3y = 7?
We should put this equation in the form of y = mx + b, where m is the slope.
We start with 4x + 3y = 7.
Isolate the y term: 3y = 7 – 4x
Divide by 3: y = 7/3 – 4/3 * x
Rearrange terms: y = –4/3 * x + 7/3, so the slope is –4/3.
Example Question #1 : Other Lines
What is the slope of the equation ?
To find the slope of a line, you should convert an equation to the slope-intercept form. In this case, the equation would be , which means the slope is .
Example Question #4 : How To Find The Slope Of A Line
What is the slope of the line ?
To find the slope, put the equation in slope-intercept form . In this case we have , which indicates that the slope is .
Example Question #5 : How To Find The Slope Of A Line
What is the slope of a line passing through the point , if it is defined by:
Since the equation is defined as it is, you know the y-intercept is . This is the point . To find the slope of the line, you merely need to use the two points that you have and find the equation:
Example Question #2 : Other Lines
Which of the following could be an equation for the red line pictured above?
There are two key facts to register about this drawing. First, the line clearly has a negative slope, given that it runs "downhill" when you look at it from left to right. Secondly, it has a positive y-intercept. Therefore, you know that the coefficient for the term must be negative, and the numerical coefficient for the y-intercept must be positive. This only occurs in the equation . Therefore, this is the only viable option.
Example Question #7 : How To Find The Slope Of A Line
What is the slope of a line defined by the equation:
A question like this is actually rather easy. All you need to do is rewrite the equation in slope intercept form, that is:
Therefore, begin to simplify:
Finally, divide both sides by :
The coefficient for the term is your slope:
Example Question #12 : How To Find Slope Of A Line
What is the slope of line 3 = 8y - 4x?
Solve equation for y. y=mx+b, where m is the slope
Example Question #13 : How To Find Slope Of A Line
Find the slope of the line 6X – 2Y = 14
Put the equation in slope-intercept form:
y = mx + c
-2y = -6x +14
y = 3x – 7
The slope of the line is represented by M; therefore the slope of the line is 3.
Example Question #14 : How To Find Slope Of A Line
If 2x – 4y = 10, what is the slope of the line?
First put the equation into slope-intercept form, solving for y: 2x – 4y = 10 → –4y = –2x + 10 → y = 1/2*x – 5/2. So the slope is 1/2.