Unit 2 Review Flashcardizz

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

Convert the equation 4x - 3y = 15 into slope-intercept form.

Back

y = (4/3)x - 5.

Front

What is the y-intercept of the line represented by the equation y = 3x - 1?

Back

The y-intercept is -1, which is the value of y when x = 0.

Front

If y = -7x, what is the value of y when x = -6?

Back

y = 42.

Front

What is the equation of a line with slope -2 that passes through the point (7, -1)?

Back

y = -2x + 13.

Front

How do you determine if a point (x, y) lies on the line represented by the equation y = mx + b?

Back

Substitute the x-value into the equation to find the corresponding y-value; if it matches the given y, the point lies on the line.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you graph a linear equation in slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.