Question

Use point-slope form to write the equation of a line that passes through the point left bracket, 17, comma, minus, 7, right bracket(17,−7) with slope minus, one half−

2
1

Answer 1

[AI-generated answer — Bot GPT 3.5]

The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Using the given point (17, -7) and slope -1/2, the equation of the line in point-slope form is:

y - (-7) = (-1/2)(x - 17)
Simplifying the equation:
y + 7 = (-1/2)(x - 17)
y + 7 = (-1/2)x + 8.5
Subtracting 7 from both sides:
y = (-1/2)x + 8.5 - 7
y = (-1/2)x + 1.5

Therefore, the equation of the line passing through the point (17, -7) with a slope of -1/2 is y = (-1/2)x + 1.5.