To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line. Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.

To find the value of x from a given value of y, find the position of y on the y-axis, then trace horizontally until you meet the line. Once you meet the line, trace vertically to the x-axis to find the corresponding value of x.

From inspection of the graph,

when x = 1, y = -1

when x = 0, y = 2

when x = 2, y = -4

Therefore,

$\begin{array}{| c | c |}\cline{1-2} x & y\\\cline{1-2} 1 & -1 \\\cline{1-2} 0 & 2 \\\cline{1-2} 2 & -4 \\\cline{1-2}\end{array}$

To find the equation of the line, find the slope:

$\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-1)}{0-1}=-3$

Then use one of the points and the found slope with the point-slope form of a linear equation: $y-y_1=m(x-x_1)$

$\implies y-2=-3(x-0)$

$\implies y=-3x+2$

So the equation of this line is: $y=-3x+2$

3 0

2 years ago

Xsquare + 10x + 16 equals 0

inn [45]

X^2+10x+16＝0

First, you find factors of 16.
1 x 16
2 x 8
4 x 4

Next, you find which of the factor pairs adds up to 10 (from the 10x). In this case, 2 x 8 because 2 times 8 is 16 and 2 plus 8 is 10.

Then, the equation will be written out as: (x+2) (x+8). Take those two equations and set them equal to 0, and then solve.

x+2＝0
-2 -2
x＝-2

x+8＝0
-8 -8
x＝-8

So, your answers are x＝-2 and x＝-8. You can check by plugging in those two numbers as x.

7 0

3 years ago

-4n + 9 = -2 (2n -1) +7

valentina_108 [34]

I got u.

-4n + 9 = -4n + 9

4 0

3 years ago

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