Slope of line = (change in y coordinates)/(change in x coordinates) = (6-0)/(4-0) = 6/4 = 3/2
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).
4/1
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.
y=-2xExplanationYou could find the slope of line going through the points (2,-4) and (-1,2). It isslope is -6/3 or -2So the line isNow plug in one of the points and the slope into point slope form and find the liney+4=-2(x-2) ory+4=-2x+4 soy=-2xCheck it by making sure BOTH points are on the line. Plug the values into the equation you found for the line.-4=-2(2)2=-2(-1)
Another set of points are needed to find the slope.
To find the slope of a line passing through a given pair of points is found by using the point slope formula. Y(2)-Y(1) over x(2) -x(1).
That depends on the points in order to find the slope whereas no points have been given.
To find the slope of a line passing through two points, use the formula (y2 - y1) / (x2 - x1). In this case, the two points are (17, 101). Since there is only one given point, it is not possible to find the slope of the line passing through these points.
Since the line is horizontal, the slope is zero.
-1/4
Points: (1, 5) and (0, 2) Slope: 3
The slope of the line passing through any two points with coordinates x,y and x',y' is (y' - y)/(x' - x). In this instance, the slope is (5 - 4)/(0 - 2) = -1/2 .
84
Find the slope of the line passing through (5, 5) and (-4, 5).
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: (y2 - y1) / (x2 - x1). Using the points (0, -4) and (-6, 7), the slope is: (7 - (-4)) / (-6 - 0) = 11 / -6 = -11/6.
This question mathematically makes no sense. A line passing through any given point can have any slope at all; you need two points to uniquely determine a line (and therefore the slope of that line).