Question

Write the slope-intercept form equation for the line by typing the appropriate numbers into the boxes.

through (-4, 3) and (4, 1)
y = type your answer...
x+ type your answer...

Answer 1

The slope-intercept form equation for the line passing through (-4, 3) and (4, 1) is y = -1/4x + 2.

Step-by-step explanation:

To find the slope-intercept form equation for a line, we can use the formula y = mx + b, where m represents the slope and b represents the y-intercept.

1. First, we need to find the slope m. Using the formula m = (y2 - y1) / (x2 - x1), we substitute the coordinates of the two points (-4, 3) and (4, 1) to find that the slope is (1 - 3) / (4 - (-4)) = -2 / 8 = -1/4.
2. Next, we substitute the slope value and one set of coordinates (-4, 3) into the formula to find the y-intercept b. Using the formula y = mx + b, we substitute the values to get 3 = (-1/4)(-4) + b. Solving for b, we find that b = 2.
3. Finally, we substitute the slope m and y-intercept b into the equation to obtain the slope-intercept form equation: y = -1/4x + 2.

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