Writing Linear Equations

Front

What is the slope of the line represented by the equation 3x - 2y = -10?

Back

The slope is 3/2.

Front

What is the y-intercept of the line represented by the equation 3x - 2y = -10?

Back

The y-intercept is 5.

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, (-4,1) and (-3,2)?

Back

The slope (m) is calculated as (y2 - y1) / (x2 - x1) = (2 - 1) / (-3 + 4) = 1.

Front

What does the letter 'm' represent in the equation y = mx + b?

Back

The letter 'm' represents the slope of the line.

Front

What is the equation of a line with a slope of 7 that passes through the point (0,1)?

Back

The equation is y = 7x + 1.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y in terms of x.

Front

What is the y-intercept of the line represented by the equation y = 2x + 3?

Back

The y-intercept is 3.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

The line decreases as it moves from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.