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Zepler [3.9K]
3 years ago
12

The equation of line GH is y = 4x − 3. Write an equation of a line perpendicular to line GH in slope-intercept form that contain

s point (2, 3). (5 points)
Mathematics
1 answer:
butalik [34]3 years ago
3 0

Answer:

The equation of this line is y = -1/4x - 7/2

Step-by-step explanation:

To find this, we need to first look for the slope. Perpendicular slopes have opposite and reciprocal slopes. Since the original line has a slope of 4, this means the new one has a slope of -1/4.

Given that slope, we can find the equation by starting with the base form of point-slope form.

y - y1 = m(x - x1)

Now put the slope in for m and the two coordinates in for (x1, y1).

y - 3 = -1/4(x - 2)

Now that we have this, solve for y for the slope-intercept form.

y - 3 = -1/4x + 1/2

y = -1/4x + 7/2


You might be interested in
Point J is on line segment IK. Given JK = 8 and IJ = 7, determine the length IK.​
masha68 [24]

Answer:

15

Step-by-step explanation:

If the line segment is IK, that means IJ+JK=IK. So, 7+8=15

3 0
3 years ago
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Sholpan [36]

Answer:

The equation of the line in slope-intercept form is:

  • y\:=\:\frac{-10}{7}x-\frac{45}{7}

Step-by-step explanation:

Given the points

  • (-8, 5)
  • (-1, -5)

Finding the slope

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)

m=\frac{-5-5}{-1-\left(-8\right)}

m=-\frac{10}{7}

We know the slope-intercept form of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept

5\:=\:\frac{-10}{7}\left(-8\right)+b

\frac{80}{7}+b=5

b=-\frac{45}{7}

now substituting m = -10/7 and b = -45/7 in the slope-intercept form

y = mx+b

y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)

y\:=\:\frac{-10}{7}x-\frac{45}{7}

Thus, the equation of the line in slope-intercept form is:

  • y\:=\:\frac{-10}{7}x-\frac{45}{7}
7 0
3 years ago
The copy machine takes 3 hours to make 24 copies of an information packet. How long would it take to make 96 copies?
kompoz [17]
It would take 12 hours
4 0
3 years ago
Help? Would be appreciated!!
MaRussiya [10]

Answer:

a. 5 ones

b.8 hundreds

c.9 thousandths

d.1 tenths

e. 7 hundreths

f. 1 millions

hope that helps you

7 0
2 years ago
Can you help with this?
gregori [183]
The slope of the given line  = 1  so the slope of the line perpendicular to it will be -(1/1)  = -1.
It also passes through point (1, -1)  so we use the point slope equation

y - y1 = m(x - x1)

y - -1) = -1(x - 1)
y + 1 = -x + 1
y = - x    <--------- that's the answer


4 0
3 years ago
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