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 between 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 equation y = mx + b.

Front

Given the slope 2/3 and y-intercept -3, write the equation of the line.

Back

y = (2/3)x - 3.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 2?

Back

y = -x + 2.

Front

How do you convert the equation from standard form Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is 2.

Front

What is the equation of the line that passes through the point (1, 2) with a slope of 3?

Back

y = 3x - 1.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.