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Warm Up

Learn how to find x and y intercepts of graphs and how to quickly sketch linear equations using intercepts. Includes practice problems.

bkrogman
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Warm Up

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  1. Warm Up homework out Check odds in the back of the book Answer the following questions. ( write question and fill in the blank) *The graph of x = -4 is a _______ line that crosses the x-axis at ____. *The graph of y = 3 is a _____ line that crosses the y- axis at ____. *Where do the 2 graphs intersect?

  2. 4.3 Intercepts of Graphs • x- intercept: the x-coordinate of the point where the graph crosses the x-axis (_, 0) y- intercept:the y- coordinate of the point where the graph crosses the y- axis (0,_) • Finding Intercepts of Lines: • To find the x-intercept of a line, substitute 0 in for “y” in the equation and solve for x. • To find the y-intercept of a line, substitute 0 in for “x” in the equation and solve for y.

  3. Find the x-intercept y = 3/2x – 3 0 = 3/2x – 3 +3 = +3 3 = 3/2x 3(2/3) = (2/3)(3/2)x 2 = x (2,0) is the x-intercept

  4. Find the y- intercept of y = 3/2x – 3 Y = 3/2(0) – 3 Y = -3 (0, -3) is the y-intercept

  5. Find the x and y intercept for: y = 2x+6 X- intercept = (-3, 0) Y-intercept = (0, 6)

  6. Quick sketch of a graph: To sketch a quick graph of a linear equation, use your x-intercept and y-intercept. Graph those 2 points and draw a line through the 2 points and the graph. using the intercepts, you will only need 2 points! Example: Quick sketchy = 2x – 3 Solve for x and y intercepts Graph the 2 points Draw line through points

  7. Joke of the day "Simon, if I had eight apples in my right hand and ten apples in my left hand, what would I have?” “Huge hands, sir.”

  8. Practice finding intercepts! • Homework quiz

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