how do you find slope intercept form?
The general equation is y=mx+b
To find the slope-intercept form of an equation, you need to determine the values of the slope (m) and the y-intercept (b). Here's how you can find them:
1. Start with an equation in the form: y = mx + b, where m represents the slope and b represents the y-intercept.
2. If you're given a linear equation in standard form (Ax + By = C), solve for y to put the equation in slope-intercept form. To do this, isolate y on one side of the equation by performing algebraic operations.
3. Once you have the equation in the form y = mx + b, the coefficient of x is the slope (m) and the constant term is the y-intercept (b).
Remember, the slope (m) represents the rate at which the y-coordinate changes relative to the x-coordinate, and the y-intercept (b) represents the point where the line crosses the y-axis.
If you are given two points on a line, (x1, y1) and (x2, y2), you can use the following formula to find the slope (m):
m = (y2 - y1) / (x2 - x1)
Once you have the value of the slope, you can substitute it, along with the coordinates of one of the points, into the equation y = mx + b to solve for the y-intercept (b).