Question

Write the equation of the line that passes through the points (-2, 13) and (3, -7) using function notation.

f(x) = -4x + 21
y = -4x + 5
y = -4x + 21
f(x) = -4x + 5

Answer 1

f(x) = -4x + 5

Explanation:

To find the equation of the line passing through two points (-2, 13) and (3, -7), we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one of the points, and m is the slope of the line.First, let's find the slope:m = (y2 - y1) / (x2 - x1)

m = (-7 - 13) / (3 - (-2))

m = -20 / 5

m = -4

Now, let's use the point-slope form with the point

(-2, 13):y - 13 = -4(x - (-2))

Simplifying:

y - 13 = -4(x + 2)y - 13 = -4x - 8y = -4x + 5

So the equation of the line passing through (-2, 13) and (3, -7) in function notation is:

f(x) = -4x + 5