wright an equation in the given from of the line passing through the given points

Question

point-slope from, passing through (-3,1) and slope 2

Answer 1

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

Using the given information, we have:
m = 2 (slope)
(x1, y1) = (-3, 1) (point)

Substituting these values into the point-slope form equation, we get:
y - 1 = 2(x - (-3))

Simplifying further:
y - 1 = 2(x + 3)

This is the equation of the line passing through the point (-3, 1) with a slope of 2.