Slope = 1
Y-intercept = 0
Y = X
Inverse variation does not pass through the origin, however direct variation always passes through the origin.
yes you can graph it. The equation is y = mx + b where m is slope and b is y intercept. Simply plug in x,y, and m and solve for b. The y intercept is at x = 0 and y = b so you can draw the graph between this point and the given point
Assuming both the scales on the graph are linear (that is to say that the numbers go up evenly) then YES, a graph which shows direct proportion must be a straight line. It must also pass through the origin (0,0). A straight line which does not pass through the origin is NOT showing direct proportion. Duncan
the origin is the point in the graph that can be fourth vertex
12
which equation has a slope of -1/2 and a graph that passes through (-3,4)?
y = - 3x
The answer depends on how the information is presented. If in the form of a graph, it must be a straight line through the origin. If in the form of an equation, it must be of the form y = cx.
Inverse variation does not pass through the origin, however direct variation always passes through the origin.
Yes Ax + By = C As the line passes through the origin then x = 0 when y = 0. Substituting gives, 0 + 0 = C therefore C = 0.
No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.
For a direct variation, y=kx where k is the constant of variation if x =0 then y=0 and the graph of y=kx passes through the origin. -Indiana Prentice Hall Algebra 2 Text Book.
y = -4x The y-intercept is zero. That is, the graph passes through the origin.
If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!
7
-- Take the equation -- Set either 'x' or 'y' equal to zero -- Solve the resulting equation for the remaining variable -- If the remaining variable is then also zero, then the origin is on the graph of the function If the graph is a straight line ('x' and 'y' appear in the equation only to the 1st power), then the equation has to be in the form of a simple ratio ... like (y = Kx) or (x = Ky) or (xy = K) or (x/y = K) ... in order to go through the origin.
-- Put a dot at the point where (x=1, y=5). -- Move your ruler so that the dot and the origin are both on the edge of the ruler. -- Draw a line along as much of the ruler as you want to. That line is the graph of y = 5x, which is the equation of the line you're describing.