Y-intercept as a point (0, ___) where b = the y-coordinate of the y-intercept. The x-coordinate of the y-intercept is always = 0.
Standard Form to Slope-Intercept Form
The y-intercept as a point in the slope-intercept form is always (0, b), where b is the y-coordinate of the y-intercept.
The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.
To convert this standard form equation into the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept, we follow these steps:
1. Solve the equation for y:
Ax + By = C
By = -Ax + C
y = (-A/B)x + (C/B)
2. Rewrite the equation in the form y = mx + b:
y = (-A/B)x + (C/B)
The slope of the line is given by -A/B and the y-intercept is given by C/B. Therefore, the y-intercept as a point (0, b) is (0, C/B).