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Eduardwww [97]
3 years ago
10

What is the equation in slope-intercept form of a line that is perpendicular to y=2x+2 and passes through the point (4, 3)?

Mathematics
1 answer:
andriy [413]3 years ago
7 0

Answer:

y =  -  \frac{1}{2} x + 5

Step-by-step explanation:

<u>slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

Given line: y= 2x +2

slope= 2

The product of the slopes of perpendicular lines is -1. Let the slope of the unknown line be m.

m(2)= -1

m= -1 ÷2

m= -½

Substitute the value of m into the equation:

y= -½x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= 3,

3= -½(4) +c

3= -2 +c

c= 3 +2

c= 5

Thus, the equation of the line is y= -½x +5.

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<em>Additional comments</em>

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.

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