IAG Sem 1 Final Exam 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 convert the equation y + 5 = -3(x - 6) to slope-intercept form?

Back

To convert, distribute -3: y + 5 = -3x + 18. Then, isolate y: y = -3x + 13.

Front

What is a linear pair of angles?

Back

A linear pair of angles are two adjacent angles that form a straight line, summing to 180 degrees.

Front

Identify a pair of angles that form a linear pair from the following: Angles 1 and 2, Angles 2 and 4, Angles 5 and 8, Angles 9 and 10.

Back

Angles 9 and 10 form a linear pair.

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible output values (y-values) of a function.

Front

Given the endpoints (-2,-6) and (8,8), how do you find the midpoint?

Back

The midpoint is found using the formula: ((x1 + x2)/2, (y1 + y2)/2). For these points, it is (3,1).

Front

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

Back

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

Front

Write the point-slope form of the line that passes through (4, -7) with a slope of -1/4.

Back

The equation is y + 7 = -1/4(x - 4).

Front

What does the term 'slope' refer to in a linear equation?

Back

The slope refers to the steepness of the line, calculated as the rise over run (change in y over change in x).

Front

How do you determine the y-intercept from a linear equation?

Back

The y-intercept is the value of y when x = 0, found in the slope-intercept form y = mx + b as b.