How do you do this problem? explain.

(D) x + 10y = 37

Step-by-step explanation:

The slope of HK is ∆y/∆x = (7 -(-3))/(2 -1) = 10, so the slope of the altitude line will be the negative reciprocal of 10, or -1/10.

This means the line in standard form will have the equation ...

... x + 10y = c . . . . . . . for some value of c

We know the altitude line goes through the opposite vertex (G), so the equation must be satisfied for the coordinates of G.

... (-3) + 10(4) = c = -3 +40 = 37

The equation of the altitude line is ...

... x +10y = 37 . . . . matches selection (D)

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Comment on slope in a standard form equation of a line

In standard form, the equation of a line is ...

... ax + by = c

When solved for y, the equation in slope-intercept form is ...

... y = (-a/b)c + c/b

That is, the slope is -a/b.

We want a line with slope -1/10, so it is convenient to choose a=1, b=10.

where is the figure

about 0.75 hours

step-by-step explanation: