Question

Write the equation of the line in slope-intercept form, given the points A(0,4) and B(−4,−8).

In your final answer, include all of your calculations. WRITER

Answer 1

Step 1 — Compute the slope m:
m = (y_B − y_A) / (x_B − x_A) = (−8 − 4) / (−4 − 0) = (−12) / (−4) = 3

Step 2 — Find the y-intercept b:
Point A is (0, 4), so b = 4.

Step 3 — Write the equation in slope-intercept form:
y = mx + b = 3x + 4

Check with B(−4, −8): y = 3(−4) + 4 = −12 + 4 = −8 ✓

Final answer: y = 3x + 4