To find the slope of the line passing through the two points, use the formula:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) = (4, -5) and (x2, y2) = (-6, 3).
m = (3 - (-5)) / (-6 - 4)
m = (3 + 5) / (-10)
m = 8 / -10
m = -4 / 5.
Now that we have the slope, we use one of the points (4, -5) and the slope to find the y-intercept:
y = mx + b,
-5 = (-4/5)(4) + b
-5 = -16/5 + b
-5 + 16/5 = b
-25/5 + 16/5 = b
-9/5 = b.
Therefore, the equation of the linear function that passes through the points (4, -5) and (-6, 3) is:
y = -4/5x - 9/5.
write the equation of the linear function that passes through the points (4, -5) and (-6, 3)
y = __x + __
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