Line v passes through point (6, 6) and is perpendicular to the graph of y = 3/4x - 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form? A: y= 3/4x+2
B: y=-3/4x+2
C: y=-4/3x+2

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

Parallel lines have identical slopes

As our original line has a slope of 3/4, both lines v and w have slope of -4/3

This means that

C: y = -4/3x + 2

is the only possible option.

Let's check that the given point fits on this line.

10 = -4/3(-6) + 2

10 = 10

So our answer is correct.

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.