Graphing using Intercepts Get Out Your Notebooks! lesson 4.3 Vocabulary x-intercept the place on a graph where the line crosses the x axis y-intercept the place on a graph where the line

crosses the y axis ok, let's start with example #1 find the intercepts of the graph of the equation. find the x and y intercepts of the graph of 2x+7y=28 to find the x intercept,

substitute 0 for y and

solve for x 2x+7y=28 write the original equation 2x+7(0)=28 then substitute 0 for y and solve for x x=28/2=14 to find the y intercept, substitute 0 for x, and solve for y write the original equation

2x+7y=28 and substitute 0 for x

2(0)+7y=28 then solve for y

y=28/7=4 the x-intercept is 14, and the

y-intercept is 4 time for example 2! using intercepts to graph an equation step 1: find the intercepts our intercepts are x=14 and y=4 1 2 3 4 5 6 7 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 x-intercept y-intercept step 2: draw the line between the intercepts and you're done! Example 3! using a graph to find intercepts 1 2 3 4 0 0 1 2 3 4 step 1: find where the line crosses the x axis

this is your x-intercept. step 2: find where the line crosses th y axis

this is your y-intercept solving a multi-step problem example 4! step 1: find the intercepts 4x+6(0)=180 x=45 45 is the x intercept 4(0)+6y=180 y=30 30 is the y intercept step 2: graph the intercepts 0 0 10 20 30 40 10 20 30 40 x y step 3: draw the line I have 180 dollars I can use to buy used video games.

some cost $4 and some cost $6. A. find the intercepts of the graph of the equation B. graph the equation C. Give four possibilities for the number of each cost videogames i could buy step 4: find 4 combinations some possible combinations are:

(0,30)

(15, 20)

(30,10)

(45,0) For extra practice, you can use page 229-232 in your math book.

(it's not homework)

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# Graphing using intercepts

lesson for math class

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