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kotegsom [21]
3 years ago
9

Solve for y. 4y/7=56 Simplify your answer as much as possible.

Mathematics
1 answer:
Temka [501]3 years ago
5 0
4y/7 = 56
7x(4y/7) = 7x(56)
4y = 392
y = 98
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Slope intercept of (2,-12) and (5,6)
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<em>The slope of the line is m=6.  </em>

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<em>The equation of the line in the slope-intercept form is y=6x−24.</em>

Step-by-step explanation:

The slope of the line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.

We have that x1=2, y1=−12, x2=5, y2=6.

Plug the given values into the formula for the slope: m=(6)−(−12)(5)−(2)=183=6.

Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).

b=−12−(6)⋅(2)=−24.

Finally, the equation of the line can be written in the form y=mx+b.

y=6x−24.

Answer:

The slope of the line is m=6.

The y-intercept is (0,−24).

The equation of the line in the slope-intercept form is y=6x−24.

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