Final answer:
To find the equation in slope-intercept form, we first calculate the slope using the given points. Then we substitute the slope and one of the points into the equation. The equation is y = 3x - 32.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, which is of the form y = mx + b where m represents the slope and b represents the y-intercept, we need to find the values of m and b.
We are given two points, A(12,4) and B(8,-8). Using the formula for slope (m = (y2 - y1)/(x2 - x1)), we calculate the slope:
m = (-8 - 4)/(8 - 12) = -12/-4 = 3.
Next, we can substitute the slope (m = 3) and one of the points (A(12,4)) into the slope-intercept form equation:
y = mx + b
4 = 3(12) + b
4 = 36 + b
b = -32.
Therefore, the equation in slope-intercept form that passes through the points A(12,4) and B(8,-8) is y = 3x - 32.
Learn more about Writing equations in slope-intercept form