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How do you explain parallel lines to kids?

What is parallel?

  1. Parallel lines are straight lines that always stay the same distance from each other and never meet:
  2. Children learn the names of shapes in Key Stage 1.
  3. In Year 3 they need to identify parallel and perpendicular lines..

Do parallel lines have a solution?

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an “inconsistent” system of equations, and it has no solution.

What is parallel line with example?

Parallel lines are equidistant lines (lines having equal distance from each other) that will never meet. These are some examples of parallel lines in different directions: horizontally, diagonally, and vertically. Another important fact about parallel lines: they share the same direction.

Which lines are parallel?

Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line….

How do you find parallel lines with points?

Correct answer: 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.

How do you write an equation that passes through a point?

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.

Which equations represent the line that is perpendicular to the line 5x 2y =- 6?

1 Expert Answer Therefore, a line perpendicular to 5x – 2y = -6 must take the standard form 2x + 5y = C. C = 2(5) + 5(-4) = 10 – 20 = -10. Thus, 2x + 5y = -10 is a correct choice….

What is the slope of a line that is perpendicular to the line y 1?

1 Expert Answer It is a vertical line, so its slope is undefined….

Which line is perpendicular to a line that has a slope of 1 3?

The slope of a line perpendicular to one with the slope of 13 is −3 . See explanation….

What is the slope of a line perpendicular to?

A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.

What is the slope of a line that is perpendicular to the line y 1 6x 4?

Using the slope-intercept form, the slope is 16 . The equation of a perpendicular line to y=x6+4 y = x 6 + 4 must have a slope that is the negative reciprocal of the original slope.

What is the slope of a line that is perpendicular to the line y 8x 5?

8

What is the equation of the line perpendicular to 2x 3y 13?

Answer Expert Verified 2x – 3y = 13, when solved for -3y, results in -3y = -2x + 13. Then y = (2/3)x + C. Any line perpendicular to this y = (2/3)x + C has the slope which is the negative reciprocal of (2/3); that slope is -3/2. Thus, the desired equation has the form y = (-3/2)x + b….

What is the slope of the line represented by the equation f/t )= 2t − 6?

What is the slope of the line represented by the equation f(t)=2t−6? The slope is 2 and the y-intercept is −6.

What is the slope of the line − 3 3?

You can also use the slope formula with two points on this horizontal line to calculate the slope of this horizontal line. Using (−3, 3) as Point 1 and (2, 3) as Point 2, you get: The slope of this horizontal line is 0.

What is the slope of the line represented by the equation?

To find the slope of a line given the equation of the line, first write it in slope-intercept form. Use inverse operations to solve for y so that it is written as y=mx+b. Then you can easily see the slope since it is the coefficient of the x variable, or the number in front of x.