225k views
3 votes
Write an equation of the line in slope-intercept form that passes through (-3,5) and is perpendicular to y = -3x- 1

1 Answer

4 votes

9514 1404 393

Answer:

y = 1/3x +6

Explanation:

The slope of the given line is the coefficient of x, -3. The slope of the perpendicular line will be the opposite reciprocal of that:

-1/(-3) = 1/3

The point-slope equation is then ...

y -k = m(x -h) . . . . . for line of slope m through point (h, k)

Here, we have m = 1/3, (h, k) = (-3, 5), so the point-slope equation is ...

y -5 = 1/3(x +3)

y = 1/3x + 1 + 5 . . . . eliminate parentheses, add 5

y = 1/3x +6 . . . . slope-intercept equation of the line

User Sathish Ramani
by
8.2k points

No related questions found