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ollegr [7]
2 years ago
13

Help me PleAse :)

Mathematics
1 answer:
Volgvan2 years ago
3 0
First, we find the y-intercept, which in this case is -1, because that's where the line crosses the y-axis.

y = mx + b

Where 'm' is the slope and 'b' is the y-intercept, therefore -1 replaces 'b':

y = mx - 1

Now let's take any two points on the line and find the slope.

m = y2-y1/x2-x1

(0, -1) and (1, 2)

m = (2 + 1)/(1 - 0)

m = 3/1

m = 3

So the slope is 3, plug this in the equation also:

y = 3x - 1
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Whats the answer to: 3x + 5y = 2 9x + 11y = 14
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\begin{gathered}\{\begin{array}{ccc}3x+5y=2&|\cdot(-3)\\9x+11y=14\end{array}\\\underline{+\{\begin{array}{ccc}-9x-15y=-6\\9x+11y=14\end{array}}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ -4y=8\ \ \ |:(=4)\\.\ \ \ \ \ y=-2\\\\\text{substitute the value of y to the first equation}\\\\3x+5\cdot(-2)=2\\3x-10=2\ \ \ |+10\\3x=12\ \ \ |:3\\x=4\\\\Answer:\ x=4;\ y=-2\to(4;\ -2)\end{gathered}

{

3x+5y=2

9x+11y=14

∣⋅(−3)

−9x−15y=−6

9x+11y=14

add both sides of equations

. −4y=8 ∣:(=4)

. y=−2

substitute the value of y to the first equation

3x+5⋅(−2)=2

3x−10=2 ∣+10

3x=12 ∣:3

x=4

Answer: x=4; y=−2→(4; −2)

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