The “point-slope” form of a line with slope m that passes through the point (x 1, y 1) is given by the formula y – y 1 = m(x – x 1). When you are given the slope of a line and a point, or two points on a line, it is easier to find the equation of the line in point-slope form than in slope-intercept or standard form.
Before you start! This is a 4-page worksheet so be sure to print only the pages you need. You will find illustrated examples with explanations on plotting straight lines and determining their slope based on tables of values and their equation. Drag the two points and change the direction of the line until you can answer questions A-D. A) If a line has a negative slope, what is its general direction? B) If a line has a positive slope, what is its general direction? C) Describe the direction of a line with a slope of zero. D) Describe the direction of a line whose slope is undefined Before you start! This is a 4-page worksheet so be sure to print only the pages you need. You will find illustrated examples with explanations on plotting straight lines and determining their slope based on tables of values and their equation. 3) State the SLOPE INTERCEPT FORM Equation for a line: 4) For each graph, FIND the slope and y-intercept to write the equation of the line: 5) For the given point (x, y) and slope, m, find the SLOPE INTERCEPT FORM of line.
3) and (2, Find the slope of the line through l, —3) and (4, 4). run = 3 -3). Find the slope of each line. If the line has no slope, say so. 17. Y = 16. y=2x-12 10 20. 6x + 2y = 3 -3 21. 2x - 5y - 18. 22. 26. 1, 3. 3x + 6)' — 12 - I no slope x 2) with a slope of 3. Run Example 1 Solution Example 2 Solution Example 3 Solution x — 2y = 4 2x-3=o no slope 3. Find the slope of each line. a. a line parallel to a line with slope } 3 4} b. a line perpendicular to the x-axis c. a line perpendicular to a line with slope 5 d. a line parallel to the x-axis e. y-axis Helping You Remember 4. A good way to remember something is to explain it to someone else. Suppose your friend In this parallel and perpendicular lines worksheet, students identify true statements about perpendicular and parallel lines. They explain the relationship between a combination of lines. This Practice 3-3: Parallel and Perpendicular Lines Worksheet is suitable for 10th - 12th Grade.