X- and Y- Intercepts Objective: To identify the x- and y- intercepts. Standard 6.0 Return Quizzes Any questions? 13 total points 2 extra credit points for last question Intercepts X-Intercept: where the line crosses the x-axis ordered pair: (x,0) Y-Intercept: where the line crosses the y-axis Ordered pair: (0,y) Y-intercept X-intercept Example 1 State the x- and y- intercepts x-intercept: (-4,0) y-intercept: (0,2) TOO State the x- and y- intercepts x-intercept: (3,0) y-intercept: (0,6) Example 3 State the x- and y- intercepts x-intercept: (5,0) y-intercept: none Will this vertical line ever cross the y-axis? no Cover up Method! If an equation is in standard form ax + by = c a,b,c are all #’s Cover up method: To find x-intercept, cover up the y To find y-intercept, cover up the x Example: 5x + 4y = 20 y-intercept: (0,5) x-intercept: (4,0) Examples 5 & 6 6x + 3y = -18 y-intercept: (0,-6) x-intercept: (-3,0) x – 4y = 14 y-intercept: (0,-7/2) x-intercept: (14,0) TOO Write the x- and y- intercepts as ordered pairs 3y = 2x + 12 5x – 3y = 20 (0,4) (-6,0) (0, 20 3 )(4, 0) Review – Write an equation in point-slope (-4,3) m = 1 7 (6,-2)(5,7) Review – Write an equation in Standard Form (5,-15)(11,-3) y+5 = -4(x+1) Review – Write an equation in Standard Form (8,-7) m = undefined (9,-2) m = 0 Homework Pg. 350 #19-21 a & b, 22-27 Write the intercepts as an ordered pair X-intercept: (#,0) Y-intercept: (0,#) Monster Problem Time!!