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  1. Sep 12, 2024 · Now that you have the slope of the perpendicular line, you can plug the value of the slope and the point you were given into a slope equation. This will give you the value of the y-intercept. Using the y-intercept, you can move on to complete the slope equation. Remember that represents the y-intercept of the line.

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  2. Find the equation of the line that is: parallel to y = 2x + 1. and passes though the point (5,4) The slope of y = 2x + 1 is 2. The parallel line needs to have the same slope of 2. We can solve it by using the "point-slope" equation of a line: y − y1 = 2 (x − x1) And then put in the point (5,4): y − 4 = 2 (x − 5)

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  3. Oct 20, 2024 · Example 4: To find the y-intercept of , substitute x = 0 and solve the quadratic equation. In this case, we can solve by taking the square root of both sides. Remember, when taking a square root, you must account for two answers: a negative and a positive. y = 1 or y = -1.

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  4. You can find the y intercepts of graphs of all types of functions including straight lines, quadratic functions, cubic functions and others. In this case, the y intercept is the point where the function crosses or intercepts the y -axis. To find the y intercept(s) of a line: Substitute x=0 into the equation of the function and evaluate for y ...

  5. Dec 10, 2020 · Some students may find them complex, but with this guide, you can find perpendicular lines with ease! Identify the equation's slope. In this guide, the slope would be m in slope-intercept form (y=mx+b). [1] The photo above identifies 2/3 as the slope. The slope does not have to be fraction; it can be a whole number.

    • How do you find the y intercept of a perpendicular line?1
    • How do you find the y intercept of a perpendicular line?2
    • How do you find the y intercept of a perpendicular line?3
    • How do you find the y intercept of a perpendicular line?4
    • How do you find the y intercept of a perpendicular line?5
  6. Aug 24, 2022 · The product of the two slopes is. m1m2 = 2 ⋅ (− 1 2) = − 1. Figure 3.5.11. Sketching perpendicular lines. Let's summarize: Parallel lines have the same slope m. Perpendicular lines have negative reciprocal slopes. That is, if a line has slope m, any line perpendicular to it must have slope − 1 / m.

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  8. First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2 x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2 x + b and solving for b, we get b = 6.

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