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kozerog [31]
3 years ago
8

What is the equation of a line in general form that passes through the point (1,-2) and has a slope of 1/3

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

(y+2) = (1/3)(x-1)  

Answer in point-slope form, you can rearrange this into the form which you need.

Step-by-step explanation:

recall that the general point-slope form of a linear equation looks like :

(y - y₁) = m(x - x₁)

where m is the slope and (x₁,y₁) is any point on the line

here we are given m = 1/3 and (x₁,y₁)=(1,-2)

simply substitute this info into the general equation above

(y - y₁) = m(x - x₁)

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

(y+2) = (1/3)(x-1)  Answer in point-slope form, you can rearrange this into the form which you need.

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Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right
juin [17]

Answer:

RT = 12 units

Step-by-step explanation:

From the figure attached,

ΔSRQ is right triangle.

m∠R = 90°

An altitude has been constructed from point T to side SQ.

m∠RTQ = 90°

By applying geometric mean theorem in triangle SRQ,

\frac{\text{RT}}{\text{ST}}=\frac{\text{TQ}}{\text{RT}}

\frac{x}{9}=\frac{16}{x}

x² = 16 × 9

x² = 144

x = √144

x = 12

Therefore, length of altitude RT is 12 units.

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3 years ago
What is the equation of this line
photoshop1234 [79]

Answer:

y = -\frac{4}{3}x + 4

Step-by-step explanation:

Use the slope-intercept form to write the equation if the line of the graph given.

y = mx + b, where,

b = y-intercept, which is where the line cuts across the y-axis = 4.

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Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:

y = mx + b

y = -\frac{4}{3}x + 4

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