What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2x + 3y 18?

y - 1 = 3/2(x - 6)

Step-by-step explanation:

First, we need to find the slope of the given equation. Without a graph, the easiest way to do this is by isolating y.

2x + 3y = 18

3y = -2x + 18        (Subtract 2x from both sides)

y = -2/3x + 6        (Divide both sides by 3)

The slope is -2/3. Perpendicular lines have opposite reciprocal slopes, so a line perpendicular to this one would need to have a slope of 3/2. We're given a point for this line, so we can write the equation for it in point-slope form.

Point-Slope Form:

y - 1 = 3/2(x - 6)

If necessary, this can also be written in slope-intercept form by solving for y.

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

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