Question

Write the equation of the linear function that passes through the points ( −4, 4) and ( −8, 9).

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of the linear function passing through these two points, we first need to find the slope of the line.

Using the formula for slope:
m = (y2 - y1) / (x2 - x1)
m = (9 - 4) / (-8 - (-4))
m = 5 / -4
m = -5/4

Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
y - 4 = -5/4(x - (-4))

Simplify:
y - 4 = -5/4(x + 4)
y - 4 = -5/4x - 5
y = -5/4x - 1

Therefore, the equation of the linear function that passes through the points (-4, 4) and (−8, 9) is y = -5/4x - 1.