Beginning & Intermediate Algebra
Which of the following ordered pairs lies on the y-axis?
Use the equation x = 3y - 2 to find y when x = 2.
For the equation 4x+3y=14x + 3y = 1, which of the following pairs is a solution?
Which coordinate must always be zero for the y-intercept of a line?
Which of these is the best reason why plotting a third point when using intercepts can help detect plotting or algebra mistakes?
Find the xx- and yy-intercepts of the line given by 12x−y=3\(\frac\)12x-y=3.
Find the slope of the line through the points (4, −2) and (1, 4) using the slope formula.
Which form of equation represents a horizontal line, and why does that form correspond to a slope of zero?
Two roads on a small map are modeled by lines: Road A goes through (0,0) and (4,6); Road B goes through (0,0) and (3,5). A city planner asks which road is steeper and by what factor is the steepness greater? Compute and justify.
Compute the slope of a line through the grid-intersection points (-3, 2) and (1, -6).
Given two points, (4,−2)(4, -2) and (1,1)(1, 1), write the equation of the line in point-slope form using the point (4,−2)(4, -2).
Two clearly defined lattice points on a line are (−2,2)(-2, 2) and (2,−1)(2, -1). Determine the equation of the line in slope-intercept form.