What is the slope of line that is parallel to the line y 3x 6?
All lines that are parallel to y=−3x−6 y = – 3 x – 6 have the same slope of −3 .
What is an equation of a line that is parallel to Y 3x 6?
To find an equation that is parallel to y=3x+6 y = 3 x + 6 , the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula. Using the point-slope form y−y1=m(x−x1) y – y 1 = m ( x – x 1 ) , plug in m=3 , x1=4 x 1 = 4 , and y1=7 y 1 = 7 .
How do you find equation of a parallel line?
We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . Parallel lines have the same slope. The slope of the line with equation y=2x+3 is 2 .
How do you find the equation of a line that passes through a point and has a slope?
These are the two methods to finding the equation of a line when given a point and the slope:
- Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b.
- Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.
Which equation represents a line that is parallel to Y?
What is a line that’s parallel to y = ¼x – 3 and passes through the point (4, -3)? Our first step is to start out with our new line’s equation in slope-intercept form, y = mx + b. We know that parallel lines have the same slope, so we can substitute ¼ for m to get y = ¼x + b.
How do you graph a line using the slope and y intercept?
Steps for graphing an equation using the slope and y-intercept:
- Find the y-intercept = b of the equation y = mx + b.
- Plot the y-intercept. The point will be (0, b).
- Find the slope=m of the equation y = mx + b.
- Make a single step, using the rise and run from the slope.
- Connect those two points with your line.
Which equation passes through 6 3 and parallel to Y equals 3x 5?
For parallel lines, the slopes must be equal, so the slope of the new line must also be . We can plug the new slope and the given point into the slope-intercept form to solve for the y-intercept of the new line. Use the y-intercept in the slope-intercept equation to find the final answer.