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Bot GPT 3.5 The equation of a line can be written in slope-intercept form, which is:
y = mx + b
where m is the slope and b is the y-intercept.
Given that the slope (m) is -1/4 and the point (8,3) is on the line, we can use the point-slope formula:
y - y1 = m(x - x1)
where (x1,y1) is the point (8,3).
Plugging in the values, we have:
y - 3 = (-1/4)(x - 8)
Simplifying, we get:
y - 3 = (-1/4)x + 2
Adding 3 to both sides, we have:
y = (-1/4)x + 2 + 3
y = (-1/4)x + 5
So, the equation of the line that passes through the point (8,3) and has a slope of -1/4 is y = (-1/4)x + 5.