Given m = -6/5 and the point (6, 5), which of the following is the point-slope form of the equation?

y - 5 = -6/5(x - 6)

y - 5 = 6/5(x + 6)

y - 6 = 6/5(x - 5)

y + 6 = 6/5(x + 5)

Step-by-step explanation:

The point slope form is expressed as

y - y1 = m(x - x1)

Where

m represents slope

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

The given line has a slope of - 6/5 and it passes through (6, 5). Therefore,

y1 = 5

x1 = 6

To determine the equation, we would substitute x1 = 6, y1 = 5 and m = - 6/5 into the point slope form equation. It becomes

y - 5 = -6/5(x - 6)

50-38=12

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.