Answer:
The equation of the line would be y = 1/8x - 3
Step-by-step explanation:
to find the slope intercept form of the line, you must first find the slope. You can do this using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-2 - -4)/(8 - -8)
m = 2/16
m = 1/8
Then you can use this slope along with either point in point-slope form. Then solve for y.
y - y1 = m(x - x1)
y + 4 = 1/8(x + 8)
y + 4 = 1/8x + 1
y = 1/8x - 3
Answer:
x = 8
Step-by-step explanation:
Move all terms which do not contain x to the right side and solve.
<h3>
Answer:</h3>
x = 3
<h3>
Step-by-step explanation:</h3>
Taking the antilog, the equation becomes ...
... 8x/(x^2 -1) = 3
Multiplying by the denominator, you have ...
... 8x = 3(x^2 -1)
Subtracting the left side to put into standard form gives ...
... 3x^2 -8x -3 = 0
This can be factored as ...
... (3x +1)(x -3) = 0
so the values of x that make these factors zero are ...
... x = -1/3 . . . and . . . x = 3
The original equation requires x > 1, so the only viable solution here is ...
... x = 3
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We can also solve this graphically to get the same result.
Answer:
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Step-by-step explanation: