Write the equation for the following graph: Slope (m)
Y-intercept (b)=
Equation: y =
X +

y = - 3x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = = = - 3

The line crosses the y- axis at (0, - 2 ) ⇒ b = - 2

y = - 3x - 2 ← equation of line

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

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