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AveGali [126]
3 years ago
10

Write an equation of a line that is perpendicular to the line y = 3/2x + 3 and goes through the point (-3, -8). Hint: Use the po

int-slope form. Then convert your answer into slope-intercept form.
Mathematics
1 answer:
JulijaS [17]3 years ago
8 0
Point-slope form looks like this: y - k = m(x - h) where m is the slope, k is the y-value and h is the x-value. For (-3, -8), -3 would replace h and -8 would replace k.

Slope-intercept form looks like this: y = mx + b where m is the slope and b is the y-value.

To solve the problem we must plug in the given coordinate and slope to the point-slope formula then change the point-slope form into slope-intercept form. But first we need to know what the slope is.

If a line is perpendicular to another line, their slopes are negative reciprocals of each other. So with the line y = 3/2x + 3, the slope for another line that is perpendicular has to be -2/3 because we switched the numerator and denominator and made it from positive to negative.

Now that we know the slope and the given coordinate, we can start solving.

Plug the givens into the point-slope formula y - k = m(x - h).
y - (-8) = -2/3(x - (-3))
y + 8 = (-2/3*x) - (-2/3*-3)
y + 8 = -2/3x + 2 Now we can convert the equation to slope-intercept form.
y + 8 - 8 = -2/3x + 2 - 8 Remember that what we do on one side we must do one the other, so we subtract 8 on the left <em>and </em>right to get y by itself.
y = -2/3x - 6 This equation is now in slope-intercept form y = mx + b, so this is the final result.

I hope this explanation made sense. If there is anything that I made look confusing, feel free to tell me and I'll try my best to explain!
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If 20 people are participating in an activity, and 15 people decide not to participate. How would i calculate the percentage of
Marta_Voda [28]

Step-by-step explanation:

Solution,

No. of people who participated= 20

No. of people who didn't participated= 15

Total number of people= 20+15= 35

Now,

Percentage of people who didn't participated

=No. of people who didn't participated/Total number of people×100%

=15/35×100%

=42.86%

Again,

Percentage of people who participated

participated=No. of people who participated/Total number of people×100%

=20/35×100%

=57.14%

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3 years ago
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Vesnalui [34]

Can you say the total cost? There's not enough to go by to answer this.

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4 0
3 years ago
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Find the slope of a line that goes through the<br> points (2, 8) and (6,-2).
levacccp [35]

Answer:

-5/2

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (-2 - 8)/(6 - 2) = -10/4 = -5/2

so y = mx + b

y = -5/2x + b

Using (2,8)

8 = -5/2(2) + b

8 = -5 + b

b = 13

then y = -5/2x + 13

4 0
3 years ago
Between 3 P.M and 3:30 P.M., the minute hand of a clock moves 180 degrees. How many degrees does the hour hand move during that
AURORKA [14]

Answer:

Between 3 P.M. and 3:30 P.M the hour hand moves 15°.

Step-by-step explanation:

The rotation of the minute hand of a clock between 3 P.M. and 3:30 P.M. is from the the 12 hour mark to the 6 hour mark which is half of one complete cycle

One complete cycle of clock rotation = 360° = 12 hours

Therefore, the hour hand rotates 360/12 = 30° for each hour

Given that the time between 3 P.M. and 3:30 P.M. is 30 minutes = 1/2 an hour

The rotation of the hour hand between 3 P.M. and 3:30 P.M = Half the rotation for 1 hour

∴ The rotation of the hour hand between 3 P.M. and 3:30 P.M = 30°/2 = 15°

Between 3 P.M. and 3:30 P.M the hour hand moves 15°.

4 0
3 years ago
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