Question

Jordan is building a backyard deck. In the blueprints, the left side of the deck is perpendicular to its front side. Select all the choices that could represent the equation of the front side if the left side's equation is 3x-2y=10. a) 2x+3y=12 b) 3x+2y=12 c) -2x+3y=-10 d) -3x+2y=-10

Answer 1

The equation of the front side of the deck could be represented by choices a), b), and c).

Step-by-step explanation:

To find the equation of the front side of the deck, we need to determine the slope of the left side's equation. The given equation is 3x-2y=10. To find the slope, we need to rearrange the equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

3x - 2y = 10
-2y = -3x + 10
y = (3/2)x - 5

Now we can see that the slope of the left side is 3/2. Since the left side is perpendicular to the front side, the slope of the front side will be the negative reciprocal of 3/2, which is -2/3. Therefore, the equation of the front side could be represented by choices a), b), and c).