All Algebra 1 Resources
Example Question #1 : Parallel Lines
Find a line parallel to
A parallel line will have the same value, in this case , as the orignal line but will intercept the at a different location.
Example Question #2 : Parallel Lines
Which of the following lines are parallel to the line defined by the equation:
Parallel means the same slope:
Solve for :
Find the linear equation where
Example Question #3 : Parallel Lines
What is the equation of the line parallel to that passes through (1,1)?
The line parallel to will have the same slope.
The equation for our parallel line will be: .
Using the point (1,1) we can solve for the y-intercept:
Example Question #4 : Parallel Lines
Which of these lines is parallel to ?
Parallel lines have identical slopes. If you convert the given equation to the form , it becomes
The slope of this equation is , so its parallel line must also have a slope of . The only other line with a slope of is
Example Question #5 : Parallel Lines
Which of these lines is parallel to
None of the other answers are correct.
Parallel lines have identical slopes. To determine the slope of the given line, convert it to form:
2y = 3x + 8
This line has a slope of .
The only answer choice with a slope of is .
Example Question #6 : Parallel Lines
Choose which of the four equations listed is parallel to the given equation.
is the correct answer because when each term is divided by 2 in order to see the equation in terms of y, the slope of the equation is , which is the same as the slope in the given equation. Parallel lines have the same slope.
Example Question #432 : Equations Of Lines
Write an equation for a line that is parallel to and has a y-intercept of .
The equation of a line can be written using the expression where is the slope and is the y-intercept. When lines are parallel to each other, it means that they have the same slope, so . The y-intercept is given in the problem as . This means that the equation would be .
Example Question #7 : Parallel Lines
Write the equation for a line parallel to passing through the point .
In order to approach this problem, we need to be familiar with the slope-intercept equation of a line, where m is the slope and b is the y-intercept. The line that our line is supposed to be parallel to is . Lines that are parallel have the same slope, m, so the slope of our new line is . Since we don't know the y-intercept yet, for now we'll write our equation as just:
. We can solve for b using the point we know the line passes though, . We can plug in 4 for x and -2 for y to solve for b:
first we'll multiply to get 1:
now we can subtract 1 from both sides to solve for b:
Now we can just go back to our equation and sub in -3 for b:
Example Question #434 : Equations Of Lines
Find the equation of a line that is parallel to and passes through the point .
None of the other answers.
A line cannot pass through this point and be parallel to the original line.
None of the other answers.
Parallel lines have the same slope. So our line should have a slope of 2x. Next we use the point slope formula to find the equation of the line that passes through and is parallel to .
Point slope formula:
is the slope of the line parallel to which passes through .
Example Question #8 : Parallel Lines
Find the equation of the line parallel to the given criteria: and that passes through the point
Parallel lines have the same slope, so the slope of the new line will also have a slope
Use point-slope form to find the equation of the new line.
Plug in known values and solve.