RTCNTC said:Does the line y = 14x go through the origin?
The equation of a line is a mathematical representation of a straight line on a coordinate plane. It is typically written in the form y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of a line, you need to know at least two points on the line. You can then use the slope formula (m = (y2 - y1) / (x2 - x1)) to calculate the slope, and then plug the slope and one of the points into the slope-intercept form (y = mx + b) to find the value of b. This will give you the complete equation of the line.
The slope (m) represents the rate of change of the line. It tells us how much the y-value changes for every one unit increase in the x-value. A positive slope indicates that the line is increasing, while a negative slope indicates a decreasing line. A slope of 0 means the line is horizontal.
Yes, the equation of a line can be used to graph the line. To graph the line, plot the y-intercept first (the point where the line crosses the y-axis), and then use the slope to plot additional points. Connect the points with a straight line to graph the line.
The slope-intercept form (y = mx + b) is easier to use when graphing a line, as the slope and y-intercept can be easily identified. The standard form (Ax + By = C) is useful for finding the x-intercept and y-intercept, as well as determining the equation of a perpendicular line. However, it is not as intuitive for graphing as the slope-intercept form.