You cannot define a line with a single point (a single point only defines itself). You need two points to define a line (and therefore to write the equation for it).
The equations are equivalent.
You write it as: y = 5x-4 Then you calculate a few sample points, plot them, and draw a straight line through them. Since the equation is linear, two points are enough, in theory, but it is usually recommended to plot a third point, as a verification.
In general, a linear equation CANNOT be made to go through three points. That will only happen if the three points are collinear and in that case, the equation of the line will only require two points.
No, a calculator is useless, unelss you are dealing with values for x and y which require some difficult working out. Use the general form of a linear equation using two points on the line: y - y1 = (y1 - y2)/(x1 - x2)(x - x1), where the points given are (x1, y1) and (x2, y2).
Actually, two separate points are enough to determine the line.
the Equation of a Line Given That You Know Two Points it Passes Through.
You can follow the following steps. * First, you determine the slope between the two points. Just calculate delta-y / delta-x (that is, difference in y-coordinates, divided by the difference in x-coordinates, between the two points). * Next, you use the point-slope formula, to get an equation for the line. You can use any of the two points for this; each of the points will give you an equation that looks different, but the two equations are equivalent, if you do everything correctly. * Finally, solve the resulting equation for "y"; that will give you the equation in slope-intercept form.
You cannot define a line with a single point (a single point only defines itself). You need two points to define a line (and therefore to write the equation for it).
No, you need either two points, one point and a slope, one point and a y-intercept, or a y-intercept an a slope. You can also write the equation of a line with an equation of another line but you would have to know if it is parallel or perpendicular.
If there are given two points, (x1, y1) and (x2, y2), then you can write the equation of a line by finding the slope first [slope = m = (y2 - y1)/(x2 - x1)] and using one of the points in order to write the equation in the point-slope form such as(y - y1) = m(x - x1)y - y1 = mx - mx1y = mx - mx1 + y1y = mx + (y1 - mx1) the slope-intercept form, where m is the slope and (y1 - mx1) is the y-intercept.mx - y = mx1 - y1 the general form of the equation of the line.
The equations are equivalent.
You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.
You write it as: y = 5x-4 Then you calculate a few sample points, plot them, and draw a straight line through them. Since the equation is linear, two points are enough, in theory, but it is usually recommended to plot a third point, as a verification.
In general, a linear equation CANNOT be made to go through three points. That will only happen if the three points are collinear and in that case, the equation of the line will only require two points.
The median of an even number of data points is the mean of the two that are central. Since you gave only 2 data points, the median is going to be the mean of the two data points, so 15'59" ■
If there are two variables, you'll usually need two equations in the two variables, to be able to find a specific solution. How you write the equation depends on the specific problem. In general, it requires some practice, to be able to convert a word problem into mathematical equations.