Questions

6-12

$x$ $f(x)$ $-3$ 10 $3$ 14 $9$ 18 The table shows several values of $x$ and their corresponding values of $f(x)$. There is a linear relationship between $x$ and $f(x)$ that is defined by the equation $f(x)=ax+b$, where $a$ and $b$ are constants. What is the value of $ab$ ?

6-11

In the $xy$-plane, a line with a slope of $\frac{1}{3}$ passes through the points (-1,1) and (5, $n$). What is the value of $n$?

6-10

Line $k$ passes through the point (1, 5) in the $xy$-plane. If line $k$ is perpendicular to the line with equation $y=\frac{1}{2}x+3$, which equation defines line $k$ ?

6-7

Day Average speed, $s$ (mph) Number of calories burned, $c$ Monday 7.2 616 Thursday 6.8 584 Friday 7.9 672 Saturday 8.5 720 On certain days of the week, Elaine runs for an hour on a treadmill. For each day that she ran on the treadmill last week, the table shows the average speed $s$ at which she ran, in miles per hour, and the number of calories $c$ she burned during the run. If the relationship between $c$ and $s$ can be modeled by a linear function, which of the following functions models this relationship?

6-6

In the $xy$-plane, a line has an $x$-intercept at (-2, 0) and a $y$-intercept at (0, -4). What is the slope of the line?

6-5

What is the slope of the graph of $y=-11x-\frac{2}{5}(18-6x)$ in the $xy$-plane?

6-4

In the $xy$-plane, line w has a slope of -8 and passes through the point $(\frac{1}{2}.-1)$. Which equation defines line $w$?

6-3

In the $xy$-plane, the $y$-intercept of the graph of $5x-8y=40$ is $(0,c)$. What is the value of $c$?

6-2

What is the $x$-intercept of the graph of $8x+12y=48$ in the $xy$-plane?

6-1

What is the slope of a line that is perpendicular to the graph of $y=-\frac{1}{4}x+5$ in the $xy$-plane?