Question

Randolph is creating rectangle WXYZ so that WX has equation of y = 1/4x + 4. Segment XY must pass through the point (-2,6). Which of the following is the equation for XY?

Answer 1

Answer:

A. y - 6 = ¼(x - (-2))

Step-by-step explanation:

Equation of a line can be represented in the point-slope form, y - b = m(x - a),

Where, (a, b) is a point that the line passes through, and m is the slope of the line.

The equation of line WX, is given in the slope-intercept form, y = mx + b. Which is y = ¼x + 4.

Thus, the slope (m) = ¼.

Since we know the value of m = ¼, and we have a point that the line runs through, (a, b) = (-2, 6), let's write the equation in point-slope form by substituting m = ¼, a = -2, and b = 6 into y - b = m(x - a).

We have:

y - 6 = ¼(x - (-2))

The answer is A

Answer 2

Answer:

y - 6 = - 4(x - (-2))

Step-by-step explanation:

The question is asking for the equation of segment XY in rectangle WXYZ. XY would be perpendicular to WX, so the slope would be the opposite reciprocal.

so,

1/4 would become -4

since the segment must pass through the point (-2, 6), we put it in the point-slope formula.

-2 is x

6 is y

therefore,

y - 6 = - 4(x - (-2)) is the correct answer