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larisa86 [58]
4 years ago
14

Solve for m: 8(3m+5)=2m-4

Mathematics
1 answer:
nikitadnepr [17]4 years ago
5 0

Answer: m = -2

Step-by-step explanation:

8(3m+5)=2m-4

24m + 40 = 2m - 4

24m - 2m = -40 - 4

22m = -44

m = - 44/ 22

m = -2

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What is an equation of the line that passing through the points (-2, -5) and (4, 7) ?
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Answer:

y=2x-1

Step-by-step explanation:

Use the slope-intercept formula: y=mx+b where m is slope and b the y-intercept.

(-2,-5)(4,7)

Use the slope formula for when you have two points:

\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

\frac{7-(-5)}{4-(-2)}

Simplify parentheses (negative+negative=positive)

\frac{7+5}{4+2}

Simplify

\frac{12}{6}=2

2 is the slope:

y=2x+b

Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:

(4,7)

y=2x+b\\7=2(4)+b

7=8+b\\7-8=8-8+b\\7-8=b\\-1=b\\b=-1

The y-intercept is -1. Insert into the equation. Change the + symbol to -:

y=2x-1

Done.

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What is the slope-intercept form of the equation y - 7= -5/2(x+4)
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The first thing I would probably do is distribute (multiply) the -5/2 into the parenthesis:

= (-5/2)x + (-20/2)

Notice how I am not putting the x into the fraction. This is to make it easier to see the slope-intercept form.

Lets simplify the (-20/2) and then add 7 to both sides:

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Since it is now in the requested format.
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3 years ago
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