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The slope is defined as the ratio of the "rise" divided by the "run" between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line. Given two points (x1,y1) and (x2,y2) on a line, the slope m of the line is
For equation:
5x + 4y = 8
the two intercepts are: (0,2) and (8/5,0)
The slope = (2-0)/(0-8/5) = - 10/8 = - 5/4
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What is the slope of the equation 5x plus 4y equals negative 3?
5x+4y = -3 4y = -5x-3 y = -5/4 x - 3 Slope is -5/4.
5x - 4y equals 14 7x - 4y equals 26?
First rearrange these simultaneous equations in the form of: 7x-4y = 26 5x-4y = 14 Subtract the bottom equation from the top equation remembering that a - - is equal to a plus. So, -4y - - 4y = 0 2x = 12 and therefore it follows that x = 6 Substitute the value of x into the original equations to find the value of y: Therefore: x = 6 and y = 4
How do you solve this equation 42 plus 4y-12 equals 13y-12-2y?
42+4y -12 = 13y -12 -2y 4y -13y+2y = 12 -12 -42 -7y = -42 y = 6
X-4y equals 2 x plus 4y equals 2?
If x - 4y = 2 and x + 4y = 2 then the only solution is when y = 0 and thus x = 2.
If you were to solve the following system by substitution what would be the best variable to solve for and from what equation 2x plus 6y equals 9 3x-12y equals 15?
2x + 6y = 93x - 12y = 15Chose the second equation because you can simplify it.3x - 12y = 15 divide by 3 to both sidesx - 4y = 5 add 4y to both sidesx = 4y + 5Replace 4y + 5 for x to the first equation.2x + 6y = 92(4y + 5) + 6y = 98y + 10 + 6y = 914y = -1y = -1/14x = 4y + 5x = 4(-1/14) + 5x = -2/7 + 5x = -2/7 + 35/7x = 33/7
