Originally Answered: I have a Math question that needs to be answered.?
To find the slope on a graph, use the formula y2 - y1 / x2 - x1
To do this, you need to find two points on the line, and shove those coordinates into the above formula.
E.g. if on your graph there are the coordinates A(1,2) and B(3,4), then call A x and call B y
So A... (1, 2) could be see as (x1, x2), so x1 = 1, x2 = y
And same for B... (3, 4) as (y1, y2), so y1 = 3 and y2 = 4
Sub those values in.... 4 - 3 / 2 - 1
So our slope on this graph is 1. so for every one it goes in the x direction, it goes up one in the y direction too.
Correct me if I'm wrong, but isn't slope the same as gradient, just a different name for it?
Anyway, y intercept is where that line hits the y (vertical) axis.
So look at the coordinate. Remember, when writing a coordinate, it's written as (x, y)
the equation forms a linear (straight line) graph, so it will only hit the y axis once. Find the coordinates of the point, e.g. it might be (0, 3)
So looking at the setup (x, y) you can see that the y intercept is 3.
Formula for working out the y intercept is y = mx + c, where m is the gradient and c is the value you are trying to find - the y intercept.
For the equation y = 3x + 1, the formula usually is that the '#x' value is the gradient and the added value (in this case the + 1) is the y intercept, remembering the above formula y = mx + c.
So your graph will have a gradient of 3 (that means for every one you go in the positive x direction, it will go up three numbers in the positive y direction) and hits the y axis at (0,1)
Sorry if I overloaded you with information here, but yeah, hope it helps just a little.