5-7 ax + by = c form miss battaglia – algebra 1 cp objective: graph equations using x- and y-...

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5-7 AX + BY = C FORM MIS S BA TTAGLIA – AL G EBRA 1 CP OBJ ECTIVE: GRAP H EQU ATIONS U SING X- A ND Y-I NTERCEPT S; W R ITE EQUATION S IN AX+B Y=C FORM; MO DEL SITUATIONS WI TH EQUATIONS IN THE FORM AX +BY= C.

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Page 1: 5-7 AX + BY = C FORM MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: GRAPH EQUATIONS USING X- AND Y- INTERCEPTS; WRITE EQUATIONS IN AX+BY=C FORM; MODEL SITUATIONS

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Page 2: 5-7 AX + BY = C FORM MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: GRAPH EQUATIONS USING X- AND Y- INTERCEPTS; WRITE EQUATIONS IN AX+BY=C FORM; MODEL SITUATIONS

WARM UPThe choir director offers to stop at a fast food restaurant with 60

students after a performance. A discussion reveals that 35 students like cheeseburgers, 37 like pizza, 36 students like tacos, 22 students like cheeseburgers or pizza, 18 students like pizza or tacos, 23 students like tacos or cheeseburgers, and 15 students like all three choices. How many students like only one of the three fast food choices?

Page 3: 5-7 AX + BY = C FORM MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: GRAPH EQUATIONS USING X- AND Y- INTERCEPTS; WRITE EQUATIONS IN AX+BY=C FORM; MODEL SITUATIONS

GRAPHING EQUATIONS

Ax + By = C Form of a Linear Equation

Ax + By = C is a linear equation, where A and B cannot both be zero.

3x + 4y = 8

To make a quick graph, you can use the x- and y-intercepts. The

x-intercept is the x-coordinate of the point where a line crosses the x-axis.

Page 4: 5-7 AX + BY = C FORM MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: GRAPH EQUATIONS USING X- AND Y- INTERCEPTS; WRITE EQUATIONS IN AX+BY=C FORM; MODEL SITUATIONS

GRAPH

3x + 4y = 8Find the x- and y-intercept

Page 5: 5-7 AX + BY = C FORM MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: GRAPH EQUATIONS USING X- AND Y- INTERCEPTS; WRITE EQUATIONS IN AX+BY=C FORM; MODEL SITUATIONS

FIND THE X- AND Y-INTERCEPTS OF EACH EQUATIONa. 3x + 4y = 12 b. 2x – y

= 4

Page 6: 5-7 AX + BY = C FORM MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: GRAPH EQUATIONS USING X- AND Y- INTERCEPTS; WRITE EQUATIONS IN AX+BY=C FORM; MODEL SITUATIONS

GRAPH ON A GRAPHING CALCULATOR

5x – 3y = 120

Step 1: Write the equation in slope-intercept form.

Step 2: Find the x- and y-intercepts.

Step 3: Set the ranges to include the x- and y-axes and the intercepts. Then graph!

Page 7: 5-7 AX + BY = C FORM MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: GRAPH EQUATIONS USING X- AND Y- INTERCEPTS; WRITE EQUATIONS IN AX+BY=C FORM; MODEL SITUATIONS

FITNESS

When you jog, you burn 7.3 calories/min. When you run, you burn 11.3 calories/min. Write an equation to find the times you would need to run and job in order to burn 500 calories.

Page 8: 5-7 AX + BY = C FORM MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: GRAPH EQUATIONS USING X- AND Y- INTERCEPTS; WRITE EQUATIONS IN AX+BY=C FORM; MODEL SITUATIONS

EXAMPLE

Write an equation of the line with the slope - through the point (-1,7)

Page 9: 5-7 AX + BY = C FORM MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: GRAPH EQUATIONS USING X- AND Y- INTERCEPTS; WRITE EQUATIONS IN AX+BY=C FORM; MODEL SITUATIONS

EXAMPLE

Write an equation of the line with the slope - through the point (4,2)

Page 10: 5-7 AX + BY = C FORM MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: GRAPH EQUATIONS USING X- AND Y- INTERCEPTS; WRITE EQUATIONS IN AX+BY=C FORM; MODEL SITUATIONS

HOMEWORK

Pg 248-249 # 1, 4 – 7, 12a, 13, 14a, 20 – 22

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