Review: Writing Linear Equations

Front

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

Back

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

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

Write the equation of the line with a slope of -5/4 and a y-intercept of 2.

Back

y = -5/4x + 2

Front

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

Back

y = 7x + 1

Front

Write the equation of the line that has a slope of 5/4 and a y-intercept of -8.

Back

y = 5/4x - 8

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = c, where c is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = c, where c is a constant.

Front

How do you convert the equation from standard form to slope-intercept form?

Back

To convert from Ax + By = C to slope-intercept form, 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 + 5?

Back

The slope of the line is -2.