AFDA Test 3 Bryant

Front

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

Back

The slope-intercept form is 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 as m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent in a graph?

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 point-slope form of a linear equation?

Back

The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you write the equation of a line that is perpendicular to another line?

Back

To write the equation of a line perpendicular to another, use the negative reciprocal of the original line's slope.

Front

What is the negative reciprocal of a slope of 3?

Back

The negative reciprocal of 3 is -1/3.

Front

If a line has a slope of -6, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it will also be -6.

Front

What is the y-intercept of the line y = 2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

How do you convert the equation y + 9 = -1/3(x + 3) to slope-intercept form?

Back

Distribute and simplify to get y = -1/3x - 8.

Front

What is the equation of a line that passes through the point (2, 3) with a slope of 4 in point-slope form?

Back

The equation is y - 3 = 4(x - 2).