The answers to the student's fill-in-the-blank questions explain various concepts related to linear equations, such as relation, linear inequality, slope-intercept form, function, domain, and point-slope form.
1. A(n) relation is a set of ordered pairs.
2. The graph of every linear equation in two variables is a(n) line.
3. The statements y > mx + b, y < mx + b, y ≥ mx + b, and y ≤ mx + b characterize a(n) linear inequality in two variables.
4. Standard form of linear equation in two variables is Ax + By = C.
5. The range of a relation is the set of all second components of the ordered pairs of the relation.
6. Parallel lines have the same slope and different y-intercepts.
7. Slope-intercept form of a linear equation in two variables is y = mx + b.
8. A(n) function is a relation in which each first component in the ordered pairs corresponds to exactly one second component.
9. In the equation y = 4x - 2, the coefficient of x is the slope of its corresponding graph.
10. Two lines are perpendicular if the product of their slopes is -1.
11. To find the x-intercept of a linear equation, let y = 0 and solve for the other variable.
12. The domain of a relation is the set of all first components of the ordered pairs of the relation.
13.A(n) linear function is a function that can be written in the form f(x) = mx + b.
14. To find the y-intercept of a linear equation, let x = 0 and solve for the other variable.
15. The equation y - 8 = -5(x + 1) is written in point-slope form.