Bellwork Match. 1) x-coordinate 2) y-coordinate 3) x-axis 4) y-axis 5) x-intercept 6) y-intercept The horizontal line on a coordinate plane The place where a line crosses the x-axis The first number in an ordered pair The vertical line on a coordinate plane The second number in an ordered pair The place where a line crosses the y-axis

The ______ on a line that crosses the ________. What we’ve learned so far… x-intercepts y-intercepts The ______ on a line that crosses the ________. The _____________ is ALWAYS _____. Ex. POINT POINT x-axis y-axis y-coordinate x-coordinate ( ___, 0) (0, ___)

How can we get an exact answer? y = -2.5x + 5.75 Estimate the y-intercept to the nearest tenth. Estimate the x-intercept to the nearest tenth. How can we get an exact answer?

Ex #1 Finding Intercepts from an Equation x-intercepts y-intercepts The _____________ is ALWAYS _____. y-coordinate x-coordinate y = -2.5x + 5.75 y = -2.5x + 5.75 0 = -2.5x + 5.75 y = -2.5(0) + 5.75 -5.75 -5.75 y = 5.75 -5.75 -2.5x ( 0 , 5.75 ) -2.5 -2.5 ( 2.3 , 0 ) 2.3 = x

Ex #1 y = -2.5x + 5.75 Estimate the y-intercept to the nearest tenth. (0, 5.75) Estimate the x-intercept to the nearest tenth. (2.3, 0)

How can we get an exact answer? y = 0.45x – 3.7 Estimate the y-intercept to the nearest tenth. Estimate the x-intercept to the nearest tenth. How can we get an exact answer?

Ex #2 x-intercepts y-intercepts The _____________ is ALWAYS _____. y-coordinate x-coordinate y = 0.45x – 3.7 y = 0.45x – 3.7 0 = 0.45x – 3.7 y = 0.45(0) – 3.7 +3.7 +3.7 y = -3.7 +3.7 0.45x ( 0 , -3.7 ) 0.45 0.45 8.2 = x ( 8.2 , 0 )

Ex #2 y = 0.45x + 8.1 Estimate the y-intercept to the nearest tenth. (0, -3.7) Estimate the x-intercept to the nearest tenth. (8.2, 0)

5x – 2y = 10 ( 0 , -5 ) ( 2 , 0 ) Ex #3 y = 2.5x – 5 y = 2.5x – 5 x-intercepts y-intercepts The _____________ is ALWAYS _____. y-coordinate x-coordinate y = 2.5x – 5 y = 2.5x – 5 0 = 2.5x – 5 y = 2.5(0) – 5 +5 +5 5 = 2.5x y = -5 ( 0 , -5 ) 2 = x ( 2 , 0 )

Graph to check our answers. The x-intercept is 2 The y-intercept is -5 Remember: Solve for y Make a table Pick your x’s Find your y’s x 1 2 3 y -5 -2.5 2.5

THE BOTTOM LINE… To find the x-intercept from an equation… Substitute zero for y and solve the equation (because you’re trying to find x) To find the y-intercept from an equation… Substitute zero for x and solve the equation (because you’re trying to find y)

x 1 2 3 y Find the x- and the y-intercept. Graph to check your answer. YOU TRY x 1 2 3 y

x 1 2 3 y YOU TRY Find the x- and the y-intercept. Graph to check your answer. x 1 2 3 y

Bellwork Thursday, November 3rd Linear or Nonlinear? If it is not linear, tell what rule it breaks. xy = -6 4x + 8y = 10 y = -4x - 2