100 likes | 117 Views
Learn the efficient method of graphing lines using intercepts. Explore how to locate points, find x and y intercepts, plot solutions, and connect the dots to form a line graph swiftly.
E N D
4.3 Quick Graphs Using Intercepts
Methods of graphing a line so far: 1. Locate points and connect the dots-do they make a line? 2. Horizontal and vertical lines y=b and x=a 3. Make a table to find solutions, plot the solutions, connect the points.
The Quick Way: Find where the line crosses the x and y axis and connect the two points.
X-intercept:the x-intercept of a line is the value for x when y=0 So, set y=0 in the equation and solve for x. Ax+By=C Ax+B(0)=C Ax=C Ordered pair results, x value and y=0 (x,0)
Y-intercept:the y-intercept of a line is the value for y when x=0 So, set x=0 in the equation and solve for y. Ax+By=C A(0)+By=C By=C Gives the y value,ordered pair (0,y)
DO NOT PUT THE X VALUE AND Y VALUE TOGETHER AS AN ORDERED PAIR!!!! YOU HAVE TWO DIFFERENT POINTS TO PLOT!! Now, graph two points and connect a line between them.
Find the x-intercept & y-intercept and graph 2x+3y=12 When y=0 When x=0 2x+3y=12 2x+3y=12 2(0)+3y=12 2x+3(0)=12 3y=12 2x=12 y=4 x=6 (6, 0) (0, 4)
Graph 6 (0, 4) (6, 0) 5 4 3 2 1 -4 -3 -2 -1 1 2 3 4 5 6
Find the x & y intercepts and graph -4x+6y=18 When y=0 When x=0 -4x+6y=18 -4x+6y=18 -4(0)+6y=18 -4x+6(0)=18 6y=18 -4x=18 y=3 x=-4 ½ (-4 ½ , 0) (0, 3)
Graph 6 (0, 3) (-4 ½ , 0) 5 4 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 6