Write an equation in slope intercept form plz help

The slope-intercept form is where m is the slope and b is the y-intercept.

The equation is already in slope-intercept form.

Step-by-step explanation:

Q8:

y= -x+4   (given)

Slope of given the line=-1

For required slope which is passing through (6,5):

Using Point slope form:

y-5=-1(x-6)    (m=-1 because lines are parallel)

y-5=-x+6

x+y-5-6=0

x+y-11=0

Q9:

y=-4x-7

slope of the given line:

m=-4

Slope of required line:

m=1/4

Using Point slope form:

y+1=1/4(x-8)

4y+4=x-8

x-4y-8-4=0

x-4y-12=0

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the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: