ineedhelp23 said:i have an equation that is y=1/4x
Yes, y=1/4x is a linear equation. A linear equation is any equation that can be written in the form y=mx+b, where m is the slope and b is the y-intercept. Since y=1/4x can be written as y=1/4x+0, it follows the standard form of a linear equation.
The slope, or m, in a linear equation is the coefficient of the x-term. In y=1/4x, the coefficient of x is 1/4. This means the slope is 1/4.
The y-intercept, or b, in a linear equation is the point where the line intersects the y-axis. In y=1/4x, the y-intercept is 0, since there is no constant term added.
Yes, y=1/4x is a direct variation. A direct variation is a type of linear equation where the ratio of y to x is constant. In y=1/4x, this ratio is always 1/4.
To graph y=1/4x, you can use the slope-intercept form of a linear equation, y=mx+b. Start by plotting the y-intercept at (0,0), which we determined to be 0 in this case. Then, use the slope, 1/4, to find another point on the line by moving 1 unit up and 4 units to the right (or 1 unit down and 4 units to the left). Connect these two points to create a straight line, which represents the graph of y=1/4x.