What id the equation for a line drawn on a graph?
The equation for a line drawn on a graph is typically given in the slope-intercept form, which is:
y = mx + b
In this equation, "y" represents the dependent variable (usually the vertical axis), "x" represents the independent variable (usually the horizontal axis), "m" represents the slope of the line, and "b" represents the y-intercept, which is the point where the line crosses the y-axis.
To find the equation of a line on a graph, you would typically need to know the slope and the y-intercept of the line. The slope represents how steep the line is, and the y-intercept represents where the line crosses the y-axis.
If you are given two points on the line, you can find the slope using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points on the line.
Once you have the slope, you can substitute it along with one of the points into the slope-intercept form:
y - y1 = m(x - x1)
By rearranging this equation, you can solve for "y" and get the equation for the line in the slope-intercept form.