Q: What is the equation of a line?
A: The equation of a line is y=mx+b, where
m = slope
b = y-intercept
Q: What is slope?
A: The slope of a line is a measure of how steep the line is. A larger slope means that the line is steeper, while a smaller . . . → Read More: Equation of a Line
Q: The equation of a line is y=2x -7. What is the y-intercept?
A: It is easy enough to simply compare the equation to the standard form, y=mx+b, and see that b = -7.
However, the general way to find the y-intercept is to set x=0, and solve for y.
y = 2(0) – . . . → Read More: Finding the y-intercept
Q: Can you show me how to find the slope of a line with the equation (y+3)=5(x-2)?
A: First, turn the equation into slope-intercept form, y=mx+b. Do this by isolating for y in the equation.
y + 3 = 5x – 10 y = 5x – 10 – 3 y = 5x – 13
. . . → Read More: Finding the Slope
Q: What is the slope of a line that contains the two points (0,3) and (4,5) ?
A: Recall that the equation for slope is:
You have two points, (0,3) and (4,5), so you have (x1,y1) and (x2,y2). Put them into the formula:
m = (5-3) / (4-0) m = 2 / 4 . . . → Read More: Finding the slope between two points
Q: Please show me how to write an equation that is the slope-intercept form of the equation of the line that passes through (1,2) and is parallel to 4x-2y=6
A: This looks hard at first, but it’s actually not too bad.
First, let’s rearrange the 4x-2y=6 line so that it’s in slope-intercept form, y=mx+b
. . . → Read More: Slopes and Equations of Parallel Lines
Q: Find the midpoint of the following segment created by these pairs of endpoints (10,10), (2,2)
A: Remember the midpoint formula.
Midpoint, M is located at:
So the midpoint is (6,6).
Q: Find the possible values of a, if the distance between the points is 5, and the coordinates are (1,1) and (4,a). Thank you.
A: Are you familiar with the distance formula? The distance d, between two points (x1,y1) and (x2,y2) is given by:
In your question, . Rearrange the distance formula to . . . → Read More: Distance Formula, Unknown y-coordinate
Q: Find the midpoint of the following segment created by these pairs of endpoints: (0,1),(0,5)
A: The midpoint formula is a pretty easy one to remember.
If you have two points, and , the location of the midpoint between those 2 points is:
For your question, the midpoint is:
x-coordinate: . . . → Read More: Midpoint Formula