4.1 & 4.2 Review: Writing Linear Equations

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Write the equation of a line with a slope of 3 and a y-intercept of -2.

Back

y = 3x - 2.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Convert the point-slope equation y - 1 = 2(x - 3) to slope-intercept form.

Back

y = 2x - 5.

Front

What is the significance of a vertical line in a coordinate plane?

Back

A vertical line has an undefined slope and can be represented by the equation x = a, where a is the x-coordinate of any point on the line.

Front

Write the equation of a line that passes through the points (1, 2) and (3, 6).

Back

y = 2x.

Front

How do you determine if two lines are parallel?

Back

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

Front

What is the formula for converting standard form Ax + By = C to slope-intercept form?

Back

Solve for y: y = -A/B * x + C/B.