Answer:
5x +y = 34
Step-by-step explanation:
Since a point and slope are given, it is convenient to start with point-slope form, then rearrange the equation to put it into standard form.
For slope m through point (h, k), the point-slope form of the equation of a line is usually written ...
y -k = m(x -h)
For m=-5 and (h, k) = (6, 4), the equation is ...
y -4 = -5(x -6)
y -4 = -5x +30 . . . . . eliminate parentheses
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Standard form looks like ...
ax + by = c
where a > 0 and GCD(a, b, c) = 1. Here's how we can get there.
5x +y -4 = 30 . . . . . . add 5x
5x +y = 34 . . . . . . . . . add 4 to get standard form.
We are given the function f(x) = x + 5 in which the abscissa chosen is at x = 4w. To find the ordinate or the y-component, we replace x with 4w in the equation given. In this case, y = 4w + 5. Hence the answer to this problem is B. (4w, 4w + 5)
