Directions Each problem below is similar to the example with the same number in your textbook. After reading through an example in your textbook, or watching one of the videos of that example on MathTV, try the matched problem to check your progress in this section. The text in blue is the learning objective associated with the matched problems that appear below the objective. Objective A Find the equation of a line given its slope and y-intercept. (Problem Set exercises 1 6 are similar.) 1. Find the equation of the line with slope and y-intercept 1. Then graph the line. Objective B Find the slope and y-intercept from the equation of a line. (Problem Set exercises 13 22 are similar.) 2. Give the slope and y-intercept for the line
3. Give the slope and y-intercept for the line Then use the slope and y-intercept to graph the line. Objective C Find the equation of a line given its slope and a point on the line. (Problem Set exercises 23 32 are similar.) 4. Find the equation of the line with slope 3 that contains the point. Write the answer in slope-intercept form.
Objective D Find the equation of a line given two points on the line. (Problem Set exercises 33 42 are similar.) 5. Find the equation of the line that contains the points Write the answer in slope-intercept form. Objective E Find the equation of a line parallel or perpendicular to a given line and through a given point. Write answer in standard form. (Problem Set exercises 7 12 and 49 53 are similar.) 6. Find the equation of the line through (3, 2) that is perpendicular to the graph of. Write your answer in standard form.
Answers 1. Find the equation of the line with slope and y-intercept 1. Then graph the line. 2. Give the slope and y-intercept for the line 3. Give the slope and y-intercept for the line Then use the slope and y-intercept to graph the line. 5 4 3 2 1 1 2 3 4 5 1 4. Find the equation of the line with slope 3 that contains the point. Write the answer in slope-intercept form. 5 4 3 2 1 2 3 4 5 5. Find the equation of the line that contains the points Write the answer in slope-intercept form. 6. Find the equation of the line through (3, 2) that is perpendicular to the graph of. Write your answer in standard form.
More about Objectives Objective A Find the equation of a line given its slope and y-intercept. It is important to memorize the slope-intercept form of a the equation of a line, the y-intercept. It will also be useful in the future., where m is the slope and b is Objective B Find the slope and y-intercept from the equation of a line. First you put the given equation into form by solving the equation for y. Then the coefficient of x is the slope and the constant is the y-intercept. Objective C Find the equation of a line given its slope and a point on the line. It is important to memorize the point-slope form of the equation of a line, is a point on the line. It will also be useful in the future., where m is the slope and Objective D Find the equation of a line given two points on the line. Here you use both the slope formula and the point-slope form of the equation of a line. First, you find the slope between the two given points. Then you substitute one point and the slope into the point-slope form. Find the equation of a line parallel or perpendicular to a given line and through a given point. Objective E Write answer in standard form. Remember from our past discussion parallel lines have the same slope and perpendicular lines have slopes that are negative reciprocals of each other. Standard form of a linear equation is where a, b, and c are integers.