How do you find an equation for slope intercept form on a tread line?

Answer 1

To find the equation of a line in slope-intercept form (y = mx + b) given two points, follow these steps:

1. Calculate the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of the two points on the line.

2. Choose one of the points on the line and plug the values of the coordinates (x, y) and the slope (m) into the equation y = mx + b to find the y-intercept (b).

3. Write the equation in slope-intercept form by substituting the values of m and b into the equation.

For example, given the points (2, 3) and (4, 7) on a line, first calculate the slope:
m = (7 - 3) / (4 - 2) = 4 / 2 = 2

Next, choose one of the points (2, 3) and plug the values into the equation y = mx + b:
3 = 2(2) + b
3 = 4 + b
b = -1

Finally, write the equation in slope-intercept form:
y = 2x - 1