Algebra 1 Midterm Exam

The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

To evaluate f(x) at a specific value, substitute the value into the function and simplify.

The Point-Slope Form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1) for points (x1, y1) and (x2, y2).

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

To convert, identify the slope (m) and y-intercept (b) from y = mx + b, then use a point on the line (0, b) in the Point-Slope Form.

In the equation Ax + By = C, A and B represent the coefficients that determine the slope and position of the line.

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

The distance d between two points (x1, y1) and (x2, y2) is given by d = √((x2 - x1)² + (y2 - y1)²).