Solving equations using a graph such as y=3x+6. The "6" is your y-intercept, so you would move 6 spaces up on the graph, and then plot that. Then you would move three spaces up and one to the right, since 3x is really 3/1. You would continue doing that. If you wanted to move down, you would just move using inverse operation. So you would plot 3 spaces down and 1 to the left. -3/-1 which is the same thing as 3/1. The formula for slope is y=mx +b. Hope this helped!
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the formula used to calculate a slope is: m=y2-y1/x2-x1
Y-y1=m(x-x1)
y - y1 = m(x - x1), where m is the slope of the line, and (x1, y1) is a point on the line.
Rene Decartes is the father of Analytical Geometry. He was a French Mathematician and theologian who is believed to have discovered the slope formula according to many experts. He was said to have provided a method to solve the problem of lines and slopes in mathematics by his prowess in Algebra and Geometry.The basic slope formula is y=mx+b while the more complex point-slope formula is y-yl=m(x-x1).
Call one point "Point 1" and the other "Point 2". (X1, Y1) are therefore the coordinates of "Point 1", and (X2, Y2) are the coordinates of "Point 2". Plug those values into this formula to get the slope of the line between those two points. m = slope (Y2-Y1)/(X2-X1)=m