What is an equation of the line, in point-slope form, that passes through the given point and has the given slope?
point: (8, –8); slope: 3
(1 point)
Responses
y – 8 = 3 (x + 8)
y – 8 = 3 ( x + 8)
y + 8 = 3 (x + 8)
y + 8 = 3 ( x + 8)
y – 8 = 3 (x – 8)
y – 8 = 3 ( x – 8)
y + 8 = 3 (x – 8)
The correct answer is: y + 8 = 3 (x - 8)
To find the equation of the line in point-slope form, we can use the formula:
y - y1 = m(x - x1)
where (x1, y1) represents the given point and m represents the slope.
Given that the point is (8, -8) and the slope is 3, we substitute these values into the formula:
y - (-8) = 3(x - 8)
Simplifying this equation gives us:
y + 8 = 3(x - 8)
Therefore, the correct equation of the line in point-slope form is:
y + 8 = 3(x - 8)