Math 0099

Finding Slope, X-Intercept, and Y-Intercept

1. Find the slope between (3, 6) and (5, 8)

)()(

)()(

12

12

xx

yym

)3()5(

)6()8(

m 1

2. Graph: 2x + y = 2

• y-intercept ______

• x-intercept ______

(0, 2)

(1, 0)

(2, -2)

3. Find the x- intercept, the y-intercept, the slope and then graph 2x – 3y = -12.

x-intercept (-6, 0)

y-intercept (0, 4)

Slope 2/3

4. Find the x- intercept, the y-intercept, and the slope of the line y = -5x + 8.

x-intercept (8/5, 0)

y-intercept (0, 8)

Slope -5

5. Find the equation of the line with a slope -3/5 that contains (10, 9)

11 xxmyy

7553

303455

65

39

105

39

yx

xy

xy

xyObjective 1) Write the equation of a line, given its slope and a point on the line.

6. Find the equation of the straight line that passes through (5, -3) and (-4, 2). Your final answer should be in standard form, Ax + By = C.

• Find slope

• Use point-slope and then write it in standard form.

1 1( )y y m x x

5( 3) ( 5)

9y x

59( 3) ( 5)9

9y x

9 27 5 25y x 5 27 5 27x x

5 9 2x y Ax By C

2 1

2 1

y ym

x x

2 ( 3)

( 4) 5

5

9

7. Write an equation in standard form with m = 2 and passing

through (0, -3).

bmxy 32 xy

32 yx

32 yx

Objective

3) Write the equation of

a line, given its slope and

y-intercept.

8. Find the x- and y-intercept of y = 4x – 16

• a. x-intercept 4, y-intercept 16

• b. x-intercept -3, y-intercept 16

• c. x-intercept 4, y-intercept -16

• d. x-intercept 0, y-intercept -16

9. What is the slope of every line parallel to 5x – 4y = 12?

The slope of every line parallel will have the same slope as the original line.

5 4 12x y 5 5x x 4 5 12y x 4 5 12

4 4 4

y x

5

34

y x

5

4m

Solve for y to find

the slope.

10. Find (f ° g)(3)

(f ° g)(3) = f(g(3)) =f(5) =25-8=17

12)(

8)( 2

xxg

xxf