Question

8.


a. Find a slope-intercept equation for line A.
b. Find a point-slope equation for line B.

Answer 1

Answer:

D. y = - 2/3 + 11/3; y - 1 = 3/2 (x-4)

Step-by-step explanation:

The slope intercept form of the line is given by:

 

The point-slope form is given by:

 

Where,

m: slope of the line

b: cutting point with the y axis

(xo, yo): ordered pair that belongs to the line

 For line A:

The slope is  

 

 

The cut point with the y axis is:

 

Substituting values we have:

 

 For line B:

 The slope is given by:

 

 

 

 

 Then, the equation of the line is:

 

 Answer:

 Option A

Answer 2

Answer:

A) y = -5/8x + 3 1/2 slope-intercept equation  or   y =-0.625x + 3.5               B) y - 1 = m( x-4) y =y-1 = 1 1/2( x -5 )

Step-by-step explanation:                                                                                 Slope-Intercept (y = mx + b)  first find slope = m = y2-y1/x2-x1 =  3 1/2

Slope (m) =  = -0.625

ΔY/ΔX =  -5/8  =-0.625

θ =  arctan( ΔY ) + 360°

ΔX= 327.99461679192°

ΔX = 4 – 0 = 4

ΔY = 1 – 3.5 = -2.5

Distance (d) = √ΔX2 + ΔY2 = √22.25 = 4.7169905660283                            Line B ) we cannot assume it is reciprocal we show workings of  1 - -5/ 4-0 = 6/4 =  1 1/2 where  y intercept  = -5  therefore equation of points =  y − y1 = m (x − x1)     =  y - 1 = m( x-4) y =y-1 = 1 1/2( x -5 )  is the answer

Angle (θ)  = 56.31  deg

θ = arctan(1.5) = 5.63099

Percentage grade  = 150%

Distance (d) 7.211

Distance between x's (Δx)4

Distance between y's (Δy)  6

d = √(Δy2 + Δx2) = √(62 + 42) = √52 = 7.2111