Write an equation of the line passing through the point (2, 10) that is perpendicular to the line 2x+y=17.

y = 0.5x + 9

Step-by-step explanation:

What we know:

An equation with the point (2,10) passing through it is perpendicular to the equation 2x+y=17.

The root of 2x+y=17 is (8.5, 0).

The two equations intersect at (3.2, 10.6)

Let's check if 3.2 and 10.6 work for 2x+y=17.

2(3.2) + 10.6 = 17

6.4 + 10.6 = 17, which is true.

Let's try y = 0.5x + 9, to see if we get the same output as the earlier equation.

y = 0.5(3.2) + 9

y = 1.6 + 9

y = 10.6, so 3.2 as x does work.

As a result, the perpendicular equation is y = 0.5x + 9.

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step-by-step explanation: