Writing Equations in Slope Intercept Form

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 find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept b represents the point where the line crosses the y-axis (when x = 0).

Front

Given the points (0, 10) and (6, 34), what is the slope of the line?

Back

The slope m = (34 - 10) / (6 - 0) = 24 / 6 = 4.

Front

Write the equation of the line in slope-intercept form that passes through (0, 10) with a slope of 4.

Back

The equation is y = 4x + 10.

Front

What is the first step to write an equation in slope-intercept form?

Back

Identify the slope (m) and the y-intercept (b) from the given information.

Front

If a bike rents for $4 plus $1.50 per hour, what is the slope in the equation?

Back

The slope is $1.50, representing the cost per hour.

Front

How do you convert a point-slope equation to slope-intercept form?

Back

Rearrange the equation to solve for y, isolating it on one side.

Front

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

Back

The slope is -2.

Front

If an airplane descends at a rate of 2,000 feet per minute, what does the negative slope indicate?

Back

The negative slope indicates a decrease in altitude over time.