54.0k views
5 votes
A line passes through the point (-3, 5) with a slope of -1/4. State its equation in point-slope form.

User Cantuket
by
6.8k points

1 Answer

3 votes

Final answer:

The equation of the line in point-slope form that passes through the point (-3, 5) with a slope of -1/4 is y - 5 = (-1/4)(x + 3).

Step-by-step explanation:

The equation of a line in point-slope form is given by the formula y - y1 = m(x - x1), where m represents the slope of the line, and (x1, y1) is a point that the line passes through. Given that our line passes through the point (-3, 5) and has a slope of -1/4, we can substitute these values into the formula to get the equation of the line.

So, the equation in point-slope form would be y - 5 = (-1/4)(x - (-3)), which simplifies to y - 5 = (-1/4)(x + 3).

User SinisterDex
by
6.8k points