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Ivan
3 years ago
5

write an equation in slope intercept form given slope and point for following (9,-4) slope 2/3 please helpppp

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer:

y=2/3x -10

Step-by-step explanation:

y= m x + b

m=slope

slope = 2/3

b= y-intercept

plot point (9,-4) and count down two, left three, until reach y axis.

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Find equation of a line through 5 -3 that is parallel to y=1/2x+3
xxTIMURxx [149]

Answer:

The equation of a line through (5 -3) that is parallel to y = 1/2 x+3 is

y = - 2 x  + 7

Step-by-step explanation:

Let us assume the slope of the line whose equation we need to find is m 1.

The line parallel to the needed line  is:   y=1/2x+3

Comparing it with the general form: y = m x + C

we get m 2 = 1/2

Now, as Line 1 is Perpendicular to Line 2.

⇒ m 1 x m 2  = -1

⇒ m 1 x ( 1/2)  = -1

⇒ m 1  = - 2

Also, the point son the line 1 is given as: (x,y)  = (5,-3)

Put the value of point and Slope in y = m x + C to find the value of Y- INTERCEPT.

we get: -3 = (-2) (5) +  C

or, C = -3 + 10 = 7

⇒ C = 7

The general line equation is given as:  y = m x + C

Substituting  the values of C and m, we get:

y = - 2 x  + 7

Hence, the equation of a line through 5 -3 that is parallel to y = 1/2 x+3 is

y = - 2 x  + 7

8 0
3 years ago
A boat heads north at 30 mph while a steamer heads east at 40 mph at the same time. When is the distance between them 50 mi?
Vera_Pavlovna [14]

let t = time (hrs) that they are 50 mi apart

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Answer:

P(3 , 0)

Step-by-step explanation:

(x₁, y₁) = A(-3,-3)    ;(x₂ , y₂) B(5, 1)

m : n = 3 : 1

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2 years ago
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