Y=mx+b (-3,6)
6
Vestigating Slope and y-intercept
The graph of every nonvertical line crosses the y-axis. The y-interceptis
the y-coordinate of the point where the graph intersects the y-axis. The
x-coordinate of this point is always 0.
The graph represents the linear equation y=-}x+4.
STEP 1 Find the slope of the line using the points (0,4)
and (-3,6).
6- 4
2
-3-0 -3
The line also contains the point (6, 0). What is
the slope using (0,4) and (6,0)? Using (-3,6)
and (6,0). What do you notice?
10.45
m
2
o
6
2
4
-2
STEP 2
STEP 3 Compare your answers in Steps 1 and 2 with the equation of the
graphed line.
o Houghton Mifflin Hancourt Publishing Company
STEP 4 Find the value of y when x = 0 using the equation y =
= - 2 x +4.
Describe the point on the graph that corresponds to this solution.
STEP 5
Compare your answer in Step 4 with the equation of the line.

1 3 5

step-by-step explanation:

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the aswere is the one with all 8's and the second one is with the 10,8 and 6

step-by-step explanation:

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step-by-step explanation:

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{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1