Presentation on theme: "Imagine that you tied a string around the center of the Earth along the equator. The string lies on top of the ground and the oceans. You then untied the."— Presentation transcript:
Imagine that you tied a string around the center of the Earth along the equator. The string lies on top of the ground and the oceans. You then untied the string and added 6 more meters to the string. You pulled the string away from all sides of the Earth equally. What is the largest animal that could crawl under the string? A) ant B) mouse Explain your thinking. Write C) cat your choice on a sticky and D) goat give to Evidence Engineer to post. E) horse
Algebra 1 Solving for y & Identify Slope & Intercept Lesson 4 A.CED.4, A.REI.3, A.REI.10, F.LE.1a
COPY THIS! Direct Variation y=kx Looks very similar to y = mx, so slope is also known as the constant of variation (k). If a function varies directly, it is proportional and can be solved with a proportion. Both variables also moves in the same direction or. For example, package weight and cost to mail or amount of gas and miles driven. 1) If y varies directly with x, and y = 18 when x=12, what is the value of y when x = 5? 2) A recipe for a dozen corn muffins calls for 1 cup of flour. The number of muffins varies directly with the amount of flour. How many cups of flour are needed for 65 muffins?
Use post-its to write statements that either compare (same) or contrast (different) EQUATIONS AND INEQUALITIES PLACE THEM ON THE CHART PAPER IN FRONT.
Vocabulary – Do you remember? Slope-Intercept Form: y = mx + b slope y-intercept movement beginning Can you hear the m and b? A cell phone company charges $.05 per text and a base rate of $10 each month. Write an equation to model your monthly bill.
Examples. Isolate y. 1) 2x + 5y = 8 2) 2x = 8 + y
Examples 3) -3x + 2y = 4 4) 5x – y = 8
Examples 5) 6)
Slope-Intercept Form y=mx+b m = slope (rise/run) b = y-intercept (where line crosses y-axis) y = -4x + 3 m=____b=____ y = -x – 7 m=____b=____ y = 3 + ¾x m=____b=____ y - 6 = ½x m=____b=____ m= -3 b= ¼ slope-int form:_____________
Examples Find the slope and y-intercept of each equation. 7)y = -2x + 110) y = ½ x – 5 8) y = x11) y = 5 9) 2x + 3y = 712) -3x – 2y = 14
Write an equation in slope-intercept form. 13) m = 3, b = 4 14) m = 0, b = -3 15) m = undefined, b = 4 m=movement b= beginning 16) A cell phone company charges $.05 per text and a base rate of $10 each month. Write an equation to model your monthly bill.
Examples Write the equation of the line. 17) 18)