3x+5= 4x-10+10 +103x+15= 4x-3x -3x15=X
If you were to graph both equations side by side, you would see that they are parallel lines. Both equations have the same slope it is just that the line would be moved down in the graph because of the intercept change.
10
x=5
4x - 3y = -6Add 3y to each side:4x = -6 + 3yAdd 6 to each side:4x + 6 = 3yDivide each side by 3:(4/3)x + 2 = yThe graph is a straight line with a slope of (4/3) and a y-intercept of 2 .
y equals 4x+1 is a parallel line to y equals 4x.
The graph of [ y = 4x + 2 ] is a straight line with a slope of 4.Any line with a slope of 4 is parallel to that one, and any line parallel to that one has a slope of 4.
Parallel. They both have a slope of 4.
4x
Parallel, the slope of the second equation is 4
6
Any graph with the slope of -1/2
y = -4x The y-intercept is zero. That is, the graph passes through the origin.
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.
y=xsquared-4x+2
6 - 4x = 13 So 4x = -7 or x = -7/4 = -1.75 In 1-dimension, the graph would consist of the single point x = -1.75 In 2-dimensions, the graph would consist of the vertical line, passing through x = -1.75 In 3-dimensions, the graph would consist of the plane parallel to the y-z axes and passing through x = -1.75
4x - 10 = -4x + 22 +4x+10=+4x +10 8x = 32 x = 4