It will have the same slope which is 2
When a straight line equation is parallel to another equation the slope remains the same but the y intercept changes
y=-x-4as this is in the form of y=mx+b, the slope of this line is -1.5x + 5y = 20x + y = 4y = -x + 4the slope of this line is -1.Since the slope of each of the two lines are the same (-1) they are in fact parallel to each other, not perpendicular.
In order for the two equations kx-8y-32 equals 0 and 4x-5y +17 equals 0 to produce parallel lines, "k" in the first equaation needs to equal 2. Then, when you plot the lines on a graph they lie parallel, with one equation liying above the y axis, and the other below it.
It will have the same slope but with a different y intercept
Get in slope intercept form. 3X + 5Y = 15 5Y = -3X + 15 Y = -3/5X + 3 -3/5 is the slope of this line and the line parallel to this line
It will have the same slope which is 2
-3/5 or -0.6
When a straight line equation is parallel to another equation the slope remains the same but the y intercept changes
Known equation: 3x+5y = 6 or y = -3/5x +6/5 Slope of equation: -3/5 Slope of parallel equation: -3/5 Parallel equation: y-1 = -3/5(x-3) => 5y = -3x+14 Parallel equation in its general form: 3x+5y-14 = 0
If: 3x+5y = 6 Then: y = -3/5x+6/5 which means it has a slope of -3/5 Parallel equation: y-1 = -3/5(x-3) => 5y-5 = -3(x-3) => 5y = -3x+14 Or as: 3x+5y = 14
It will have the same slope but a different y intercept
parallel lines have the same slope. So if you equation if 5y+x=2 for example, you can solve for y and then look at the coefficient of x, that number is the slope. So in the example 5y+x=2, 5y=-x+2 or y=-1/5x+2/5 The slope is -1/5 so any line with that slope will be parallel. The 2/5 is the y intercept or the location where the line hits the y axis. This can be any real number.
5y - x = 10 5y = x + 10 or y = x/5 + 2 This is now the equaltion of the line in the standard form and the slope of the line is the coefficieint of x that is, 1/5 or 0.2
10x+5y = 25 5y = -10x+25 y = -2x+5 Therefore: the slope is -2 and the intercept is 5
4x-5y = 13 -5y = -4x+13 y = 4/5x-13/5 Slope = 4/5 or 0.8
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