Exam 2: Linear Equations in Two Variables and Functions

The graph shows the enrollment at Riverside Community College for selected years. Use the coordinates of the given points to find the slope of the line. Interpret the meaning of the slope in the context of this problem

Determine if the ordered pair is a solution to the linear equation. $y = \frac { 9 } { 7 } x - 4 ; ( - 7 , - 9 )$

Find the x-intercept and the y-intercept and graph both. Then graph the line. $y = - \frac { 5 } { 3 } x - 2$

Determine if the function is constant, linear, quadratic, or none of these. $t ( x ) = - | x - 6 | + 9$

Find the x-intercept and the y-intercept then graph the equation. $- 2 x + 5 y = 40$

The slope of a line is given. Find the slope of a line parallel to the given line and perpendicular to the given line. $m = \frac { 9 } { 14 }$

Write an equation of the line satisfying the given conditions. The line passes through (-9, -6) and has an undefined slope.

Graph the constant function f (x) = 4. Then use the graph to identify the domain and range of f.

Complete the table. Then graph the line defined by the points. $9 x + 2 y = 6$

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through the point $( - 6,7 )$ and has a slope of $- \frac { 3 } { 2 }$ .

Determine if the ordered pair is a solution to the linear equation. $y = \frac { 4 } { 5 } x - 5 ; \quad ( 15,7 )$

Identify the line as either vertical or horizontal, and graph the line. $x = - 3$

Find the domain and range of the relation. Use interval notation where appropriate.

Find the x-intercept and the y-intercept then graph the equation. $g ( x ) = 2 x - 5$

Write a mathematical equation to define a relation whose second component y is 18 less than its first component x.

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 2.9x=-2.4y-6 y+9=-3x

Graph the linear equation. $3 y = - 2 x - 1$

Write a function defined by y = f (x) subject to the following conditions. The value of f (x) is eight more than four times x.

Consider the points plotted below. a. Write the relation as a set of ordered pairs. b. Determine the domain and range.

Determine if the relation defines y as a function of x.