Slope-Intercept Form
Writing the Equation
Equation from Points
To find the equation of a line when given two points on the line, use the slope formula to determine the slope, m. Substitute one point and the slope into the slope-intercept form equation and solve for b. Rewrite the equation with m and b. Here are the steps to follow:
- Use the two points to find the slope (rate of change) using the slope formula
. - Substitute the value of m and the values of (x,y) for one point into the slope-intercept form, y = mx + b, and solve for b.
- Substitute the values of m and b into the slope-intercept form equation.
- Substitute the other point into the equation to check the values of m and b.
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