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What is the equation of line parallel to $$ y = 3x + 5 $$ and through the point $$ (1, 7) $$? Many students are more comfortable using slope intercept form but this kind of problem is actually much easier, using point slope form (shown immediately below) Step 1
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Download free worksheet(pdf) on finding the equation of a...
- Parallel & Perpendicular Lines
Slope Formula Calculator (Free online tool calculates slope...
- Point Slope Form
Overview of different forms of a line's equation. There are...
- Y-Intercept
The Y-Intercept of a line is the point where a line's graph...
- Slope Intercept Form
Horizontal Lines. The equation of a horizontal line is y = b...
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The calculator will find the equation of the parallel/perpendicular line to the given line passing through the given point, with steps shown. For drawing lines, use the graphing calculator. Find the equation of the line to the line passing through the point (, ) Enter the equation of a line in any form: y=2x+5, x-3y+7=0, etc.
To find the equation of a parallel line through a given point: Write y = m𝑥 + c where ‘m’ is the gradient of the given line. Substitute the 𝑥 and y values of the given point into this equation. Solve the resulting equation for ‘c’. Write y = m𝑥 + c with these known values of ‘m’ and ‘c’.
Jan 18, 2024 · To find the distance between two parallel lines in the Cartesian plane, follow these easy steps: Find the equation of the first line: y = m1 × x + c1. Find the equation of the second line y = m2 × x + c2. Calculate the difference between the intercepts: (c2 − c1). This is the distance between the two parallel lines.
Parallel lines have the same slope, to find the parallel line at a given point you should simply calculate the... Chat with Symbo AI may present inaccurate or offensive content that does not represent Symbolab's views.
Jul 11, 2024 · The area of a parallelogram can be determined from its diagonals, provided that you also know the angle between the diagonals. If e and f are the lengths of the diagonals and φ is the angle between them, then the area can be calculated as follows: area = ½ × e × f × sin(φ).
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Equation of the line that passes through the point A(x0,y0) and is perpendicular to the line y = mx+b is: Example: Find the equation of the line that passes through the point A(−1,2) and is perpendicular to the line y = 2x −3. Solution: In this example we have: x0 = −1, y0 = 2, m = 2. So we have:
