Which form expresses a linear equation using slope and y-intercept?

The slope-intercept form of a linear equation is expressed as ( y = mx + b ), where ( m ) represents the slope of the line, and ( b ) represents the y-intercept, which is the point where the line crosses the y-axis. This form is particularly useful because it immediately provides both the slope and the y-intercept, allowing for easy graphing and interpretation of the linear relationship.

In contrast, the other forms mentioned do not emphasize the slope and y-intercept in the same way. The standard form usually looks like ( Ax + By = C ), which doesn't readily reveal the slope or y-intercept without rearranging the equation. Point-slope form, expressed as ( y - y_1 = m(x - x_1) ), highlights a specific point on the line and the slope but requires additional steps to derive the y-intercept. Quadratic form pertains to equations representing quadratic relationships, which are entirely different from linear equations and do not include slope or y-intercept in their structure.

Thus, slope-intercept form is the most direct way to express a linear equation concerning its slope and y-intercept.