Final answer:
To find the equation of a line that passes through two given points, you can use the slope-intercept form of a linear equation: y = mx + b. Find the slope using the formula (y2 - y1) / (x2 - x1) and substitute the slope and one point into y = mx + b to find the value of b. Finally, write the equation of the line using the calculated values of m and b.
Step-by-step explanation:
To find the equation of a line that passes through two given points, we can use the slope-intercept form of a linear equation, which is y = mx + b.
Let's find the slope first using the formula: m = (y2 - y1) / (x2 - x1). Plug in the coordinates (-8, 12) for (x1, y1) and (-4, -4) for (x2, y2) into the formula and calculate the slope.
Next, substitute the slope and one of the points into the slope-intercept form y = mx + b to find the value of b. Use the coordinates of either point and the slope you just calculated to solve for b. Once you have the values of m and b, you can write the equation of the line.