Graphing Equations - Test - Retake

Front

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

Back

The slope-intercept form of a linear equation is given by 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 graph?

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.

Front

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

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope of the line is -3.

Front

What is the y-intercept of the equation y = 4x - 1?

Back

The y-intercept is -1.

Front

How do you graph the equation y = x + 4?

Back

To graph y = x + 4, plot the y-intercept (0, 4) and use the slope (1) to find another point, then draw the line.

Front

What is the graph of y = -x - 2?

Back

The graph of y = -x - 2 is a straight line with a slope of -1 and a y-intercept at (0, -2).

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

Back

The slope of the line is 2.