How to find the yintercept with 2 points?
Understand the Problem
The question is asking how to calculate the yintercept of a line using two given points. The yintercept is the point where the line crosses the yaxis, and it can be found using the coordinates of the two points to determine the slope and the equation of the line.
Answer
Follow the steps to calculate the yintercept: find the slope, use pointslope form, and solve for b.
Answer for screen readers
To find the yintercept of the line given two points, follow these steps: Calculate the slope using the two points, use the pointslope form of the line to find the equation, and then solve for b (the yintercept) when x equals 0.
Steps to Solve

Find the slope (m) of the line using the two points
Suppose the two points are $(x_1, y_1)$ and $(x_2, y_2)$. The formula to find the slope $m$ is:
$$ m = \frac{y_2  y_1}{x_2  x_1} $$
 Use the pointslope form of the equation of a line to find the yintercept (b)
The pointslope form of a line's equation is:
$$ y  y_1 = m(x  x_1) $$
You can solve for $b$ (the yintercept) by substituting $m$ (the slope) and one of the points $(x_1, y_1)$ into the equation, and then solving for $y$ when $x = 0$.
 Convert the equation to slopeintercept form
Convert the equation to the slopeintercept form $y = mx + b$ to easily identify the yintercept $b$.
 Calculate b
Solve for $b$ by substituting $x = 0$ into the equation $y = mx + b$.
To find the yintercept of the line given two points, follow these steps: Calculate the slope using the two points, use the pointslope form of the line to find the equation, and then solve for b (the yintercept) when x equals 0.
More Information
The yintercept is where the line crosses the yaxis, and it provides information about the initial value of the dependent variable in various contexts, such as economics, physics, and biology.
Tips
A common mistake is calculating the slope incorrectly by mixing up the coordinates (x1, y1) and (x2, y2). Always keep track of which point's coordinates are subtracted from which.