MATH 1201 - College Algebra - CHALLENGE 1: Graphing and Writing Linear Equations and Inequalities

MATH 1201 - College Algebra - CHALLENGE 1: Graphing and Writing Linear Equations and Inequalities To find the corresponding y-value when the x-value is 3, find 3 on the horizontal axis, and go up until you find the coordinate point. This matches with 7 on the vertical axis. To find the corresponding x-value when the y-value is 9, find 9 on the vertical axis, and go over until you find the coordinate point. This matches with 17 on the horizontal axis. Correct Go to the Next Concept 9/14/21, 1:22 PM College Algebra - CHALLENGE 1: Graphing and Writing Linear Equations and Inequalities 2 — Introduction to Slope Identify the slope of a line perpendicular to a given line. What is the slope of a line perpendicular to the line ? A.) B.) C.) D.) D.)Correct. Recall that perpendicular lines have opposite (one positive, one negative) reciprocal (flipped fraction) slopes. If the slope of this line is , then to find the slope of a line perpendicular, flip the fraction from to AND change from a positive to a negative. The slope of the original line: The slope of a perpendicular line: Correct Go to the Next Concept 9/14/21, 1:21 PM College Algebra - CHALLENGE 1: Graphing and Writing Linear Equations and Inequalities 3 — Determining Slope Calculate the slope of a line that passes through two points. What is the slope of a line that passes through the points and ? A.) B.) C.) D.) D.)Correct. Given two points, the slope of the line is: . Plugging in for and for , the slope is: The important thing is to be consistent with the order that coordinates are plugged in and subtracted. Correct Go to the Next Concept 9/14/21, 1:20 PM College Algebra - CHALLENGE 1: Graphing and Writing Linear Equations and Inequalities 4 — Determining Intercepts Determine the x-intercept and y-intercept of an linear equation. What are the x-intercept and y-intercept of the line ? A.) x-intercept: y-intercept: B.) x-intercept: y-intercept: C.) x-intercept: y-intercept: D.) x-intercept: y-intercept: D.)Correct. The x-intercept is at the point where y is 0: The x-intercept is at (-3, 0). The y-intercept is at the point where x is 0: 9/14/21, 1:20 PM College Algebra - CHALLENGE 1: Graphing and Writing Linear Equations and Inequalities The intercept is at (0,-6). Correct Go to the Next Con 9/14/21, 1:19 PM College Algebra - CHALLENGE 1: Graphing and Writing Linear Equations and Inequalities 5 — Forms of Linear Equations Determine the slope and y-intercept of an equation in slope-intercept form.