what is the equation of a line that passes through the points?
114331
Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
275123
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
492560
['Calculate the slope of the original line. ... ', 'Take the reciprocal of the original slope. ... ', 'Calculate b, the y intercept of the new line using the new slope and the point given along that line.', 'Put all of the information together in point slope form.']
41913
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
390300
The formula 0 = Ax + By + C is said to be the 'general form' for the equation of a line. A, B, and C are three real numbers. Once these are given, the values for x and y that make the statement true express a set, or locus, of (x, y) points which form a certain line.
144173
Correct answer: y = x + 4. Explanation: The equation of line p is given in the form y = mx + b, where m is the slope and b is the y-intercept. Because the equation is y = –x + 4, the slope is m = –1. If two lines perpendicular, then the product of their slopes is equal to –1.
63591
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know the slope (m) any y-intercept (b) of a line, this page will show you how to find the equation of the line.
75293
Equation of a Straight Line. Equations of straight lines are in the form y = mx + c (m and c are numbers). m is the gradient of the line and c is the y-intercept (where the graph crosses the y-axis).
270017
['Pick two points on the line and determine their coordinates.', 'Determine the difference in y-coordinates for these two points (rise).', 'Determine the difference in x-coordinates for these two points (run).', 'Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).']
208017
Using the Slope Equation Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
66835
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis).
974177
The equation of the line through (x1,y1) with slope m is y − y1 = m(x − x1). The equation of the line with slope m and y-intercept b is y = mx + b. The slope of a horizontal line is 0.
1053251
The basic equation of the line is y = mx + b, where m represents the slope of the line and b is the y-intercept. For this question we simply plug in the values for the appropriate variables to get the correct equation of the line.
624238
The cartesian equation for a straight line is y = mx + c, where m represents the gradient of the line, and c is the point where the line crosses the y-axis. A vector equation for a line similarly needs 2 pieces of information: A point on the line.
495258
Let (x1, y1) and (x2, y2) be two given points, and let (x, y) be any point on the line. Then the slope joining one of the given points and any point, is equal to the slope joining the two given points, because a line has one and only one slope. This is called the two-point formula for the equation of a straight line.
1426593
The formula y - y1 = m(x - x1) is usually described as the 'point-slope form' for the equation of a line. It is useful because if you know one point on a certain line and the slope of that certain line, then you can define the line with this type of formula and, thus, find all the other points on that certain line.
1417171
This can be obtained by putting in the known values given in the question. Therefore, 8 = -3*7 + c, or c = 8+21 or 29. Hence the equation of a line that passes through (7,8) and has a slope of -3 is y = -3x+29.