Write an equation in point-slope form for the line that passes through the given points.(1,−3), (4,−15)

To write the equation of a line in point-slope form, we first need to find the slope of the line. The slope (m) is given by the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Given the points (1, -3) and (4, -15), we can substitute into the formula:

m = (-15 - (-3)) / (4 - 1) m = (-15 + 3) / 3 m = -12 / 3 m = -4

Now that we have the slope, we can use the point-slope form of the line equation, which is:

y - y1 = m(x - x1)

Substituting m = -4, x1 = 1 and y1 = -3, we get:

y - (-3) = -4(x - 1) y + 3 = -4x + 4

So, the equation of the line in point-slope form that passes through the points (1, -3) and (4, -15) is y + 3 = -4x + 4.