Section 1
The Cartesian Coordinate System and Straight Lines
Refer to the accompanying figure and determine the coordinates of the point and the quadrant in which it is located.$$A$$
Refer to the accompanying figure and determine the coordinates of the point and the quadrant in which it is located.$$B$$
Refer to the accompanying figure and determine the coordinates of the point and the quadrant in which it is located.$$C$$
Refer to the accompanying figure and determine the coordinates of the point and the quadrant in which it is located.$$D$$
Refer to the accompanying figure and determine the coordinates of the point and the quadrant in which it is located.$$E$$
Refer to the accompanying figure and determine the coordinates of the point and the quadrant in which it is located.$$F$$
Refer to the accompanying figure.Which point has coordinates $(4,2)$ ?
Refer to the accompanying figure.What are the coordinates of point $B$ ?
Refer to the accompanying figure.Which points have negative $y$ -coordinates?
Refer to the accompanying figure.Which point has a negative $x$ -coordinate and a negative $y$ -coordinate?
Refer to the accompanying figure.Which point has an $x$ -coordinate that is equal to zero?
Refer to the accompanying figure.Which point has a $y$ -coordinate that is equal to zero?
Sketch a set of coordinate axes and then plot the point.$$(-2,5)$$
Sketch a set of coordinate axes and then plot the point.$$(1,3)$$
Sketch a set of coordinate axes and then plot the point.$$(3,-1)$$
Sketch a set of coordinate axes and then plot the point.$$(3,-4)$$
Sketch a set of coordinate axes and then plot the point.$$\left(8,-\frac{7}{2}\right)$$
Sketch a set of coordinate axes and then plot the point.$$\left(-\frac{5}{2}, \frac{3}{2}\right)$$
Sketch a set of coordinate axes and then plot the point.$$(4.5,-4.5)$$
Sketch a set of coordinate axes and then plot the point.$$(1.2,-3.4)$$
Find the slope of the line shown in each figure.
Find the slope of the line that passes through the given pair of points.$$(4,3) \text { and }(5,8)$$
Find the slope of the line that passes through the given pair of points.$$(4,5) \text { and }(3,8)$$
Find the slope of the line that passes through the given pair of points.$$(-2,3) \text { and }(4,8)$$
Find the slope of the line that passes through the given pair of points.$$(-2,-2) \text { and }(4,-4)$$
Find the slope of the line that passes through the given pair of points.$$(a, b) \text { and }(c, d)$$
Find the slope of the line that passes through the given pair of points.$$(-a+1, b-1) \text { and }(a+1,-b)$$
Given the equation $y=4 x-3$, answer the following questions.a. If $x$ increases by 1 unit, what is the corresponding change in $y$ ?b. If $x$ decreases by 2 units, what is the corresponding change in $y$ ?
Given the equation $2 x+3 y=4$, answer the following questions.a. Is the slope of the line described by this equation positive or negative?b. As $x$ increases in value, does $y$ increase or decrease?c. If $x$ decreases by 2 units, what is the corresponding change in $y$ ?
Determine whether the lines through the pairs of points are parallel.$$A(1,-2), B(-3,-10) \text { and } C(1,5), D(-1,1)$$
Determine whether the lines through the pairs of points are parallel.$$A(2,3), B(2,-2) \text { and } C(-2,4), D(-2,5)$$
If the line passing through the points $(1, a)$ and $(4,-2)$ is parallel to the line passing through the points $(2,8)$ and $(-7, a+4)$, what is the value of $a$ ?
If the line passing through the points $(a, 1)$ and $(5,8)$ is parallel to the line passing through the points $(4,9)$ and $(a+2,1)$, what is the value of $a$ ?
Is there a difference between the statements "The slope of a straight line is zero" and "The slope of a straight line does not exist (is not defined)"? Explain your answer.