4.21 Alg 1 P1,2,3,8 Graph lines and 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 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 line?

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

Given the equation y = -2x + 4, what is the slope?

Back

The slope is -2.

Front

What is the equation of a line with a slope of 3 that passes through the point (1, 2)?

Back

Using the point-slope form, the equation is y - 2 = 3(x - 1), which simplifies to y = 3x - 1.

Front

How do you convert the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

Solve for y: y = (-A/B)x + (C/B). The slope is -A/B and the y-intercept is C/B.

Front

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

Back

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

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.