No. If you have more than two points for a linear function any two points can be used to find the slope.
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To find the slope of the line passing through two points (x1, y1) and (x2, y2), you use the formula: slope = (y2 - y1) / (x2 - x1). In this case, the points are (5, 8) and (-3, 7). Plugging the values into the formula, we get slope = (7 - 8) / (-3 - 5) = -1 / -8 = 1/8. Therefore, the slope of the line passing through the points (5, 8) and (-3, 7) is 1/8.
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).
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.
Find the slope of these points. (4,1) and (5,-1) m(slope) = Y2 - Y1/X2 - X1 m = -1 - 1/5 - 4 = -2/1 or - 2 Now I prefer to use one set of nice points and this formula, the point slope formula. Use (4,1) Y - Y1 = m(X - X1) Y - 1 = - 2(X - 4) distribute the slope Y - 1 = - 2X + 8 add 1 to each side Y = - 2X + 9 -----------------the equation
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.