The Slope is 2/3, and the line passes through the point (6,-5). Y=mx+b

The equation of the line is

y = 2/3x-9

Step-by-step explanation:

The slope is 2/3 and a point on the line is (6,-5)

We use the slope intercept form of the line is y = mx+b where m is the slope and b is the y intercept

y =2/3x+b

Substitute the point into the equation

-5 = 2/3(6)+b

-5 = 4+b

subtract 4 from each side

-5-4 = 4-4+b

-9 =b

Substitute this into the equation

y = 2/3x-9

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32