the slope-intercept form of the equation is y rnx + b, the point-slope form of the equation is y — = m(x — Xl). Eiahlple 1 Write an equation in slope-intercept form of the line with slope —2 and y-intercept 4. Y = mx + b Slope-intercept form The slope-intercept form of the equation of the line is y = —2x + 4. TEiercises —Exahlþlé .2 Write an equation in point-slope form of the line with slope Unit E Homework Helper Answer Key 7.a. Follow the same sequence of rigid motions that map point T to point Q and point U to point R. b. C 8.a. a reflection across the x-axis followed by a translation of 4 units to the left and 2 units down b. Answers will vary. Lesson 10-1 Dilations 1. 4 2. (2, 1) 3. 4. 5.a. b. Answers will vary. 6.a. 2 7 b. C ... The first point uses subscript 1, and the second point uses subscript 2. The diagram below should help us visualize the first step. The diagram below should help us visualize the first step. Next, it is now easy to extract the values that we will substitute in the slope formula.
5. x y 5 6. 2x y 6 Write each equation in slope-intercept form, and then find the slope and y-intercept. 7. 2x y 5 8. x y 10 9. x 2y 4 Write the equation of the line that passes through each pair of points in slope-intercept form. 10. (1, 2), ( 1, 0) 11. (1, 3), ( 1, 1) 12. (1, 1), ( 3, 3) y x 1 y 2x 1 y x m 1 2 2; 5m 1;b 10 ; b 2 y 1 2 2 5;y x ... (from Unit 2, Lesson 10) Describe how you can tell whether a line’s slope is greater than 1, equal to 1, or less than 1. Solution Answers vary. Sample response: Build a slope triangle. If its vertical length is greater than its horizontal length, the slope is greater than 1. If its vertical and horizontal lengths are equal, the slope is equal ...
Nov 09, 2013 · Eg. Their Line Equations cannot be written in y = mx + b form. Vertical Lines cannot be written in y = mx + b form, because their Gradient Slope if undefined, and the lines go infinitely straight up. Vertical Lines have equations such as x = 2, x = -3, x=7, x = -4, etc. Vertical Lines have an X-Intercept, but they do not have a Y-Intercept. (4-2) Write an equation given the slope and a point: * Write the formula * Plug in the x,y pair and slope * Solve for b * Rewrite the equation with the slope and y-intercept values substituted (the x and y will still be variables) Write an equation given two points: * Find the slope * Use the slope and one of the points (doesnʼt matter
Finding the slope of a line is an essential skill in coordinate geometry, and is often used to draw a line on graph, or to determine the x- and y-intercepts of a line. You can easily calculate the slope of a line using the coordinates of two of its points.Point-Slope Form of a Line. Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.