They both will have the same slope or gradient but with different y intercepts
Line a is parallel to line b, m, and . Find .
That will depend on the given straight line equation and then by plotting the x and y values on a graph the result will be a straight line that may be positive, negative, parallel to the x axis or parallel to the y axis.
You a goofy shoty B.
The line with a slope m cuts the y-axis at the point (0, b). The value b is called the y-intercept of the line.
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Line a is parallel to line b, m, and . Find .
The line shift upwards, parallel to itself.
The equation of a line is y = mx + b. If the slope of the line (m) stays the same, the line will be parallel to the original line. What changing b does is change the y-intercept of the line, because when you make x = 0, y = b. So by making b larger, you are moving the line up the y axis.
Slopes of parallel lines are all the same.If they are parallel, their formulae of the form "y = mx + b" will only differ in the b. The m will be constant.
y = -3x + 7 is an equation which gives us a line parallel to the line y = -3x + 1, or the line -3x - 1. The equation given represents the slope-intercept form of the equation for a line. Slope-intercept takes the form y = mx + b. In this form the the value of m represents the slope of the line, while b represents the Y intercept. All lines with the same slope are parallel (unless they're exactly the same.) So to find a parallel line, we simply adjust the Y intercept to any value other than the one given.
What must be true? In your example, we have 4 intersecting lines. g and b are parallel, and f and h are parallel. g and b are perpendicular to f and h. It might look like tic-tac toe for example
The slope is[ (y-value of 'b') - (y-value of 'a') ] / [ (x-value of 'b') - (x-value of 'a') ]
Every line that's exactly on the AB line.
y = 4x + 2 Find the slope of a line parallel to the given equation. First, let's take a look at what it means to be parallel. The easiest way to look at it, is to think of railroad tracks. Parallel lines are the same distance apart for EVERY point on the line. This means, parallel lines will NEVER, ever cross. There will never be a point in common with both. Now think about how this will help us with our slope in the equation. Try to answer the following. Our parallel line will have: a) the same slope as the given line OR b) a different slope as the given line That's right, (a). If you're asked to find the equation/slope of a parallel line to a given line, the parallel line will always have the exact SAME slope as your given line! Since our given line y= 4x +2 has a slope of 4, the parallel line to y = 4x +2 will also have a slope of 4. Remember, the general form of a linear equation is y = mx +b, where m = slope and b = y-intercept.
Use two line segments (line A and line B) with all points on line A equidistant from all points on line B; in otherwords, use 2 parallel lines. Choose two points on line A (points a and b). Now choose 2 points on line B (x and y) so that the distance of line ab equals the distance of line xy. Connect points a and y with a line segment ab and points b and z with a line segment bz. In simpler words, take two parallel line segments of equal length, and connect their endpoints with two other line segments.
In the standard line equation, y=mx+b, y and x are not constants. They are like the manipulated and responding variables of a science experiment. for two lines to be parallel m must be the same for both lines.
Statement: All birds lay eggs. Converse: All animals that lay eggs are birds. Statement is true but the converse statement is not true. Statement: If line A is perpendicular to line B and also to line C, then line B is parallel to line C. Converse: If line A is perpendicular to line B and line B is parallel to line C, then line A is also perpendicular to line C. Statement is true and also converse of statement is true. Statement: If a solid bar A attracts a non-magnet B, then A must be a magnet. Converse: If a magnet A attracts a solid bar B, then B must be non-magnet. Statement is true but converse is not true (oppposite poles of magnets attract).