DATE PERIOD NAME: I can we determine whether two lines are parallel , perpendicular or neither given their equations. VOCABULARY: PARALLEL LINES, PERPENDICULAR LINES, SLOPE, Y-INTERCEPT, X-INTERCEPT, EQUATION, GRAPHS Parallel lines have the same slopes. + 1) From the graph on the left. Find the slope and y-intercept for Y = 2x +3 slope___ y-intercept 3) Which equation represents a line that is parallel to the line y = 4x + 57 1) y= 4x + 3 2) 1 X+ 5 y2x3 Y = 2x - 4 slope y-intercept 4 2 3) 1 4 x+3 2) Find the slope and y-intercept for 3x + 2y = 12 and 3x + 2y = 6 4) y = 4x + 5 y2x 4 Perpendicular lines have opposite reciprocal slopes. (ex: m opposite reciprocal 1/m) 4) From the graph on the left. Find the slope and y-intercept for Y = 3/4x +5 slope_, y-intercept 6) Which equation represents a line that is perpendicular to the line represented by 2x - y = 7? 1) y-intercept Y= 4/3x - 6 slope y +(34)x+ 5 2) y-x+6 31 2 1+ 5) Find the slope and y-intercept for 3x - 2y = 4 and 2x + 3y =3 2) ソーラス+ 3) y=-2x + 6 4) y = 2x + 6 169 -6 -5 -3 -2 -11 -2+ 3 y = (-43)x - 6 Neither parallel nor perpendicular lines. Slopes are NOT the same nor NEGATIVE reciprocal. Ay-axis 7) From the graph on the left. Find the slope and y-intercept for Y = 3x - 5 slope y-intercept 8) The lines 3y + 1 = 6x + 4 and 2y + 1 = 1-9 are 1) parallel 2) perpendicular 3) the same line 4) neither parallel nor Y=-X-1 slope_y-intercept