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.
You use point-slope form to find the equation of a line if you only have a point and a slope or if you are just given two point. Usually you will convert point-slope form to slope-intercept form to make it easier to use.
Use the equation; y=mx+b where m is the slope Use your 2 points as y and b (intercept)
Your x and y intercepts give you two points on the line of the graph. Use these two points in the slope equation m = (y2-y1)/(x2-x1), and that gives you the slope.
To find the slope of a line, you take two points on the line, then use their X and Y coordinates in the following formula: slope = ( Y2 -Y1 ) / ( X2 - X1) By simplifying the answer, you will get your slope.
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.
If you have an equation that looks like y=mx+b then the m is the slope. If you have two points then you use the formula Y2-Y1/X2-X1
The table should give you a set of points. Take two coordinated pairs off the table and use the formula y2 - y1 divided by x2 - x1 (rise over run) to get your slope. Then take the slope and one of your points and plug it into y = mx +b with m being the slope, and b as the y-intercept.
You find two perfect points (exactly on a point) and use the formula y2-y1 over x2-x1
A slope is a line on a graph that's either positive or negative. The points are where a "y" line and an "x" line meet on the slope line. When you find 2 points, you have to label them x1, y1, then x2, y2. You then need to use the formula y2-y1 over x2-x1.
To graph an equation that is not in slope-intercept form, you can use the process of finding points on the graph and plotting them. Choose a few x-values, plug them into the equation to find the corresponding y-values, and plot those points on the graph. Then, connect the points with a smooth line to complete the graph.
Use: (y2 -y1)/(x2 -x1) to find the slope. Use: y -y1 = m(x -x1) to find the slope intercept equation whereas m is the slope.
Use point-slope formula
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).