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To write an equation of parallel lines in slope-intercept form (y = mx + b), first identify the slope (m) of the line you want to be parallel to, as parallel lines have the same slope. Then, choose a y-intercept (b) for the new line—this can be any value. Substitute the slope and the chosen y-intercept into the slope-intercept form to get the equation of the parallel line. For example, if the original line is y = 2x + 3, a parallel line could be y = 2x + 1.
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Write the equation in slopeintercept form of the line that has a slope of 3 and contains the point 2 5?
y=mx+b y0=mx0+b 5=3*2+b b=5-5=0 y=3x+0
How do I figure out Write An Equation Of The Line That Includes The Point (5 7) And Is Parallel To The Line Y -4x -3 Write What if your Answer In Slope Intercept Form?
To write the equation of a line that is parallel to the line given by (y - 4x - 3 = 0), first determine the slope of the original line. Rearranging the equation to slope-intercept form (y = mx + b), we find the slope (m = 4). Since parallel lines have the same slope, the new line will also have a slope of 4. Using the point-slope form (y - y_1 = m(x - x_1)) with the point (5, 7), we can write the equation as (y - 7 = 4(x - 5)), which simplifies to (y = 4x - 13) in slope-intercept form.
How do you write a formula for the largest number of parallel lines possible in a regular shape with an even amount of sides?
To determine the largest number of parallel lines in a regular polygon with an even number of sides, you can use the formula ( n/2 ), where ( n ) is the number of sides. This is because each pair of opposite sides can be drawn parallel to each other. For example, in a regular hexagon (6 sides), there can be 3 pairs of parallel lines, yielding 3 parallel lines.
Write the equation of the line that is parallel to y equals 1over 3x minus 3?
y=1over 3x + 3
How do you write an equation that is part one parallel and then also part two perpendicular to the equation?
To write an equation that is part one parallel and part two perpendicular to a given line, start by identifying the slope of the original line from its equation, typically in the form (y = mx + b), where (m) is the slope. For the parallel part, use the same slope (m) for the new equation, resulting in the form (y = mx + b_1), where (b_1) is a different y-intercept. For the perpendicular part, use the negative reciprocal of the original slope, (-\frac{1}{m}), leading to the equation (y = -\frac{1}{m}x + b_2), with (b_2) being another y-intercept.
Write the equation in slopeintercept form of the line that has a slope of 2 and contains the point 3 7?
y = 2x + 1.
Finding equations of lines as solutions?
find equation of the line. write equation in slope intercept form. (5,5) parallel line (3,13) and (12,13)
Write equation in slope intercept form for the line parallel to y equals 3x-3 and with a y intercept of -4?
Since the two lines are parallel, then they have the same slope, 3. Thus, the equation of the line with y-intercept -4, and parallel to y = 3x - 3 is y = 3x - 4.
Is the system of parallel lines and spaces used to write music called notation?
A staff or a stave is the system of parallel lines and spaces used to write music notation.
Write the equation in slopeintercept form of the line that has a slope of 3 and contains the point 2 5?
y=mx+b y0=mx0+b 5=3*2+b b=5-5=0 y=3x+0
Write the equation in slopeintercept form of the line that has a slope of 3 and contains the point 4 9?
The equation of the line is of the form y = 3x + c where c is a constant. The point (4,9) is on the line, so substituting x=4, y=9 in the equation, 9 = 3*4 + c = 12 + c so c = -3 So the equation of the line is y = 3x - 3
How you would write the equation of a line given a point on the line and a parallel line?
y = 3x+5 is parallel to y = 3x+7
Write an equation of a line parallel to 5x-4y equals 8?
5x-4y=8
Write an equation of the line containing the given point and parallel to the the given line6 and 7 3x plus y equals 8?
Given point: (6, 7) Equation: 3x+y = 8 Parallel equation: 3x+y = 25
How do I figure out Write An Equation Of The Line That Includes The Point (5 7) And Is Parallel To The Line Y -4x -3 Write What if your Answer In Slope Intercept Form?
To write the equation of a line that is parallel to the line given by (y - 4x - 3 = 0), first determine the slope of the original line. Rearranging the equation to slope-intercept form (y = mx + b), we find the slope (m = 4). Since parallel lines have the same slope, the new line will also have a slope of 4. Using the point-slope form (y - y_1 = m(x - x_1)) with the point (5, 7), we can write the equation as (y - 7 = 4(x - 5)), which simplifies to (y = 4x - 13) in slope-intercept form.
How do you write an equation of a line that passes through the point 7 3 and is parallel to the line Y -2 3x plus 3?
If you mean: y = -23x+3 then the parallel equation is y = -23x+164
How do you write an equation that is parallel to a given line and passes through the given point?
Parallel straight line equations have the same slope but with different y intercepts
