Download Finding Slope, X-Intercept, and Y

Math 0099
Finding Slope, X-Intercept, and YIntercept
1. Find the slope between (3, 6) and (5,
8)
( y2 )  ( y1 )
m
( x2 )  ( x1 )
(8)  (6)
m
(5)  (3)
1
2. Graph: 2x + y = 2
(0, 2)
• y-intercept ______
(1, 0)
• x-intercept ______
(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)
y  y1  mx  x1 
3
 x  10 
y  9  
5
3
y 9 
x6
5
5 y  45  3 x  30
3 x  5 y  75
Objective
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.
y2  y1
2  (3)
5
m


x2  x1
(4)  5
9
• Find slope
• Use pointslope and then
write it in
standard form.
y  y1  m( x  x1 )
Ax  By  C
5
y  (3) 
( x  5)
9
5
9( y  3) 
( x  5)9
9
9 y  27  5 x  25
5 x  27  5 x  27
5 x  9 y  2
7. Write an equation in standard
form with m = 2 and passing
through (0, -3).
Objective
3) Write the equation of
a line, given its slope and
y-intercept.
y  mx  b
y  2x  3
 2 x  y  3
2 x  y  3
8. Find the x- and y-intercept of y =
4x – 16
•
•
•
•
a.
b.
c.
d.
x-intercept 4, y-intercept 16
x-intercept -3, y-intercept 16
x-intercept 4, y-intercept -16
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.
Solve for y to find
5 x  4 y  12
the slope.
5 x
 5x
5
m 
4
4 y  5 x  12
4 y 5 x 12


4
4 4
5
y  x  3
4
f ( x)  x  8
2
10. Find (f
° g)(3)
(f ° g)(3) = f(g(3))
=f(5)
=25-8=17
g ( x)  2 x  1