The slope is usually derived from the equation y = mx + b where m is the slope and b is the y-intercept.
Slope:
m = (y2 - y1)/(x2 - x1)
As for finding intercepts, for finding the y intercept, look for the b in the equation or make x = 0, for x-intercepts, make y = 0.
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The slope of a line that passes through two points is (difference in y) / (difference in x).
If you have the coordinates of two points, say P = (a,b) and Q = (c,d), then slope = (b-d)/(a-c) that is, the difference in the y coordinate of the two points divided by the difference in the x coordinate of the points taken in the same order.
Answer: When there is no slope stated in the function of x, when y=mx+b It simply means y=0x+b Since "b" is the y intercept, your line would be a horizontal line parallel to the X-axis passing through point (0,b) Answer: In other cases, you may need to calculate the slope first, from some other information provided. For example, if you are asked to find the equation that passes through two specified points, you can first find the slope between those two points. Then you can use this slope, and one of the points, with the slope-intercept form of the equation.
Points: (2, 5) and (4, 3) Slope: -1 Equation: y = -x+7 in slope-intercept form --- If you want to write the slope-intercept form of the equation of the line passing through the given points, then use the two points to find the slope of the line. After that, use the slope and one of the points to find the y-intercept. For instance, m = (5 - 3)/(2 - 4) = 2/-2 = -1(the slope) y = mx + b (replace m with -1, and (x, y) with (4, 3)) 3 = -1(4) + b 3 = -4 + b (add 4 to both sides) 7 = b Thus, y = -x + 7 is the equation of the line passing through (2, 5) and (4, 3).
It really depends on the particular problem, of course - for example, what is asked for. Specifically to find the slope, you can use the definition of slope as delta-y divided by delta-x. In other words, you divide the difference in the y-coordinates by the difference in x-coordinates between two points.