LT #7 Standard Form

Front

What is the slope of the line y=8x + 1?

Back

m=8

Front

What is the y-intercept of the line y=8x + 1?

Back

(0, 1)

Front

What is the standard form of a linear equation?

Back

Ax + By = C

Front

Which of the following is written in standard form: y=3x-5, 3x+16=5y, 2/3 x + 9/13 y = 21, 5x+7y=-12?

Back

5x+7y=-12

Front

What is the x-intercept of the line y=8x + 1?

Back

(-1, 0)

Front

Define slope in the context of a linear equation.

Back

Slope (m) is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

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 as (0, b) in the equation y = mx + b.

Front

How do you convert the equation y = mx + b to standard form?

Back

Rearrange it to the form Ax + By = C, where A, B, and C are integers.

Front

What is the significance of the coefficients A and B in the standard form Ax + By = C?

Back

A and B represent the slopes of the line in relation to the x and y axes.

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope (m) but different y-intercepts.