What line is parallel to 3x 2y 6 and passes through the point 2 − 1?
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What line is parallel to 3x 2y 6 and passes through the point 2 − 1?
What is the Equation of the Line that Passes through (4, 2) and is Parallel to 3x – 2y = –6? [Solved]
What is the equation of a line that is parallel to y 3x 4?
The equation of a line is typically written as y = mx + b where m is the slope and b is the y-intercept. You have the equation y = 3x + 4 where the slope, m, is 3. Therefore, the parallel line will also have this slope. Hope this helps!
What is the slope of the line 2y 3x 4?
Divide 4 4 by 2 2 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 32 .
How do you solve parallel lines?
Two lines are parallel lines if they do not intersect. The slopes of the lines are the same. f(x)=m1x+b1 and g(x)=m2x+b2 are parallel if m1=m2 f ( x ) = m 1 x + b 1 and g ( x ) = m 2 x + b 2 are parallel if m 1 = m 2 . If and only if b1=b2 b 1 = b 2 and m1=m2 m 1 = m 2 , we say the lines coincide.
How do you determine if two lines are parallel?
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.
How do you do 3x 2y 4?
- 3x+2y=4. 3x+2y=4. Subtract 3x from both sides. Subtract 3x from both sides.
- 2y=4-3x. 2y=4−3x. Divide both sides by 2. Divide both sides by 2.
- \frac{2y}{2}=\frac{4-3x}{2} 22y=24−3x Dividing by 2 undoes the multiplication by 2. Dividing by 2 undoes the multiplication by 2.
- y=\frac{4-3x}{2} y=24−3x Divide 4-3x by 2.
How do you find the parallel of y = -3x + 2?
To find an equation that is parallel to y = −3x +2 y = – 3 x + 2, 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 m = – 3, x1 = 0 x 1 = 0, and y1 = 0 y 1 = 0.
What is the equation of the line parallel to the given line?
Comparing it with standard equation of a straight line; y = m x + c, the slope m of the given line = 3/2. Therefore equation of the line parallel to the given line and passing through point (x’, y’) = (6,7) would be:
How do you find the slope of a parallel line?
Choose a point that the parallel line will pass through. Use the slope-intercept form to find the slope. Tap for more steps… The slope-intercept form is y = m x + b y = m x + b, where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is − 3 – 3.
What is the value of 3x – 2y + 9?
The equation of a line in slope-intercept form is. where m represents the slope and b, the y-intercept. add 2y to both sides. The equation of a line in point-slope form is. Distributing the bracket and simplifying gives the equation in an alternative form. 3x −2y + 9 = 0. the result is quite obvious. If, in addition, # (x_0,y_0) in l_2, then,