Question

Which is the equation of a line that has a slope of g and passes through point (2, -3)?

a. v-gx-4
b. ya x-2
c. y-3x+2
d. y = 1/2x + 3

Answer 1

The equation of a line with slope g passing through point (2, -3) is y = gx - 2g - 3.

Step-by-step explanation:

The equation of a line that has a slope of g and passes through the point (2, -3) can be found using the point-slope form of a linear equation. The point-slope form is given by:

y - y1 = m(x - x1)

Where m is the slope and (x1, y1) is the given point. Substituting the values, we have:

y - (-3) = g(x - 2)

Simplifying the equation, we get the answer:
y = gx - 2g - 3