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.
the slope is 1, and goes through the origin. It's a straight, diagonal line.
it is just that- a linear function that goes through ther origin. ======================================================= Any equation y = ax, where a is a constant, will do so.
When a linear equation does not pass through the origin, it is referred to as a "non-homogeneous" linear equation. In this case, the equation typically takes the form (y = mx + b), where (b) is the y-intercept. The presence of the y-intercept indicates that the line is shifted vertically away from the origin. If (b) is not zero, the line will not intersect the origin (0,0).
y = -5x
it's a straight line. Through the origin.
the slope is 1, and goes through the origin. It's a straight, diagonal line.
it is just that- a linear function that goes through ther origin. ======================================================= Any equation y = ax, where a is a constant, will do so.
When a linear equation does not pass through the origin, it is referred to as a "non-homogeneous" linear equation. In this case, the equation typically takes the form (y = mx + b), where (b) is the y-intercept. The presence of the y-intercept indicates that the line is shifted vertically away from the origin. If (b) is not zero, the line will not intersect the origin (0,0).
The graphs of those two equations are straight lines, each of which passes through the origin. The origin is the common solution ... the point (0, 0).
You then have a linear relationship, or a direct variation. A straight line through the origin.
y = -5x
it's a straight line. Through the origin.
UndefinedImproved Answer:-The straight line equation is: y = 2x
The graph of a linear proportion will be a straight line passing through the origin. The equation will have the form y = mx, also written as y = kx.
y=13x
y=x
It is a linear function passing through the origin. It represents a direct proportionality between x and y.