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Rama09 [41]
2 years ago
12

How do you find the x intercept of the equation

Mathematics
1 answer:
LekaFEV [45]2 years ago
8 0

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (28/5,0)

y-intercept(s): (0,4)

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Consider the graph of the line y = x – 4 and the point (−4, 2).
Hitman42 [59]

Answer:

a. The slope  of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is  (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

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

y=mx+b

Where m is the slope and b is the y-intercept.

a. For the line y = x - 4

You can identify that:

m=1

 By definition, two lines are parallel if they have the same slope. Then, the  slope of a line parallel to the given line is:

m=1

b. The equation of the line in Point-slope form is:

y -y_1 = m(x - x_1)

Where m is the slope and (x_1,y_1)  is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = (x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=1 :

y -2 = (1 +4)

y= 5+2

y= 7

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the  slope of a line perpendicular to the given line is:

m=-\frac{1}{1}\\\\m=-1

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = -1(x +4)

 y -2 = -(x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=3 :

y -2 = -(3 +4)

y= -7+2

y= -5

Then, you get the point (3,-5)

8 0
3 years ago
Can the sum of two mixed numbers be equal to 2, explain why or why not
Sergeeva-Olga [200]
No because a mixed number is a whole number with a fraction and the smallest whole number is one so 1 and a fraction pulse and a fraction will equal more than 2
4 0
3 years ago
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You want to know how many miles harriet went. which situation about her exercise best represents the inequality 15x 7 > 52?
Lady_Fox [76]
The answer is either a or d but we know she did all of this for more than 52 minutes.
8 0
2 years ago
125 invitations to 75 Invitations ( Round To The Nearest Tenth Of A Percent If Necessary )
aleksklad [387]
I think the answer to this is .6 or 1.7

8 0
2 years ago
First come first served brainiest
Alex17521 [72]

Answer:

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2.) 8

3.) 201 square inches

Step-by-step explanation:

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