We have that

the equation for the line that crosses the point (2,-5) and is perpendicular to the line y=2/3x+4

two lines are perpendicular if m1*m2=-1

y=2/3x+4-----------> m1=2/3

then

m2=-3/2

the equation of a line is

point (2,-5) and m2=-3/2---> -1.5

y-y1=m*(x-x1)

y+5=(-1.5)*(x-2)-------> y=-1.5x+3-5--------> y=-1.5x-2

the answer is

y=-1.5x-2

see the attached figure

the equation for the line that crosses the point (2,-5) and is perpendicular to the line y=2/3x+4

two lines are perpendicular if m1*m2=-1

y=2/3x+4-----------> m1=2/3

then

m2=-3/2

the equation of a line is

point (2,-5) and m2=-3/2---> -1.5

y-y1=m*(x-x1)

y+5=(-1.5)*(x-2)-------> y=-1.5x+3-5--------> y=-1.5x-2

the answer is

y=-1.5x-2

see the attached figure

Find slope using the slope formula.

m=(y2-y1)/(x2-x1)

m=(-2-0)/(2+6)

m=-2/8

m= -1/4

Knowing y=mx+b, plug in m.

y=(-x/4)+b

Plug in a coordinate pair to find the b value. (Either works)

-2=(-2/4)+b

-2=-1/2+b

-2+1/2=b

-3/2=b

Plug in the b value to give the final equation.

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

m=(y2-y1)/(x2-x1)

m=(-2-0)/(2+6)

m=-2/8

m= -1/4

Knowing y=mx+b, plug in m.

y=(-x/4)+b

Plug in a coordinate pair to find the b value. (Either works)

-2=(-2/4)+b

-2=-1/2+b

-2+1/2=b

-3/2=b

Plug in the b value to give the final equation.

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

y=(1/3)x+5

Step-by-step explanation:

Slope-intercept: y=mx+b

m=((y2-y1)/(x2-x1)) = (6-4)/(3+3)= 2/6= (1/3)

y=(1/3)x+b

plug in one of the points (3,6)

6=(1/3)(3)+b

6=1+b 5=b

x=8

Step-by-step explanation:

Because x=8 is the same for both points it means the line could only be the line x=8,which is parallel to the y-axis

The answer is B

Step-by-step explanation

If you plug in -3 for X and add 3 that is multiplied by 4 you get 9

If you plug in -3 for X and subtract 3 that is multiplied by four you get -15

therefore c and d are wrong:)

Step-by-step explanation:

first. find the gradient

which is change in Y over Change in X

6 - 4 / 3--3 = 2/6 = 1/3

take any two point say for example (3,6) and equate it to the gradient

Y - 6/X- 3= 1/3 then cross multiply

3Y - 18 = X -3 then collect like term

3Y= X - 3 + 18

3y = X +15

3Y - X = 15 or X - 3Y= 15

Step-by-step explanation:

undefined slopecrosses x axis at (-4,0)

a line with an undefined slope is a vertical line. It is represented by the equation x = (the x intercept)...so ur equation is : x = -4because no matter what y is, x will always be -4

Step-by-step explanation:

undefined slopecrosses x axis at (-4,0)

a line with an undefined slope is a vertical line. It is represented by the equation x = (the x intercept)...so ur equation is : x = -4because no matter what y is, x will always be -4

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