Quick Graphs Using Intercepts 4.3 Quick Graphs Using Intercepts

Learning Goal #1 for Focus 4 (HS.A-CED.A.2, HS.REI.ID.10 & 12, HS.F-IF.B.6, HS.F-IF.C.7, HS.F-LE.A.2): The student will understand that linear relationships can be described using multiple representations. 4 3 2 1 In addition to level 3.0 and above and beyond what was taught in class,  the student may: · Make connection with other concepts in math · Make connection with other content areas. The student will understand that linear relationships can be described using multiple representations. - Represent and solve equations and inequalities graphically. - Write equations in slope-intercept form, point-slope form, and standard form. - Graph linear equations and inequalities in two variables. - Find x- and y-intercepts. The student will be able to: - Calculate slope - Determine if a point is a solution to an equation. - Graph an equation using a table and slope-intercept form.   With help from the teacher, the student has partial success with calculating slope, writing an equation in slope-intercept form, and graphing an equation. Even with help, the student has no success understanding the concept of a linear relationships.

The Quick Way to Graph an Equation: Find where the line crosses the x and y axis and connect the two points.

Ordered pair results, x value and y=0 (x,0) 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)

Gives the y value, ordered pair (0,y) 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)

Now, graph two points and connect a line between them. 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