Writing Linear Equations Flashcard #1 Review

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 of a line given 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 slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of 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 slope-intercept form y = mx + b.

Front

Write the equation of a line with slope -2 that passes through the point (7, -1).

Back

The equation is y = -2x + 13.

Front

If a car rental company charges $8.50 per hour plus a $25.50 fee, what is the equation for total charges y for x hours?

Back

The equation is y = 8.5x + 25.5.

Front

What is the equation of a line with a slope of -1/3 and a y-intercept of -2?

Back

The equation is y = -\frac{1}{3}x - 2.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

Write the equation of a line with a slope of -2/3 and a y-intercept of 4.

Back

The equation is y = -\frac{2}{3}x + 4.

Front

If Tommy withdraws $20 weekly and has $500 after 3 weeks, what is the equation for his bank balance y after x weeks?

Back

The equation is y = -20x + 560.