Problem 4
a. Fill in the blank: To write a linear equation in two variables in slope- intercept form, solve the equation for b. Solve \(4 x+y=9\) for \(y\)
Problem 9
Fill in the blanks. a. In which quadrants are the second coordinates of points positive? b. In which quadrants are the first coordinates of points negative? c. In which quadrant do points with a positive \(x\) -coordinate and a negative \(y\) -coordinate lie? d. On what axis are the first coordinates of points zero?
Problem 10
Write the coordinates that are improper fractions as mixed numbers. a. \(\left(\frac{7}{2}, 0\right)\) b. \(\left(0,-\frac{17}{3}\right)\)
Problem 12
Fill in the blanks. since \(y\)=_____, the following two equations are equivalent: $$ y=3 x+2 \quad \text { and } \quad f(x)=3 x+2 $$
Problem 15
In the ordered pair \((4,5),\) is the number 4 associated with the horizontal or the vertical axis?
Problem 16
Fill in the blanks. a. Two different lines with the same slope are _____. b. If the slopes of two lines are negative reciprocals, the lines are _____. c. The product of the slopes of perpendicular lines is _____.
Problem 17
Fill in the blanks: The inequality \(4 x+2 y \leq 9\) means \(4 x+2 y\) ____ 9 or \(4 x+2 y\) _____ 9.
Problem 17
Determine whether each equation has the given ordered pair as a solution. \(y=5 x-4 ;(1,1)\)
Problem 18
Use the point-slope form to find an equation of the line with the given slope and point. Then write the equation in slope-intercept form. See Example \(1 .\) Slope \(8,\) passes through \((2,6)\)
Problem 23
Find the slope and the -intercept of the line with the given equation. See Example 1 $$ y=-5 x $$