Answer:
The equation of the line would be y - 4 = 2/5(x + 2)
Step-by-step explanation:
In order to find this we can use the base form of point-slope form and put in the information given.
y - y1 = m(x - x1)
y - 4 = 2/5(x + 4)
A line is a one-dimensional shape that is straight. The equation represents a line that passes through (–2, 4) and has a slope of 2/5 is (y - 4) = (2/5)(x + 2).
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
(y - y₁) = m(x - x₁)
y = y-coordinate of the second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of the second point
x₁ = x-coordinate of point one
Given that the slope of the equation of the line is 2/5. Also, the equation of the line passes through (–2, 4). Now, substitute the slope and the coordinates in the equation of the line.
(y - y₁) = m(x - x₁)
(y - 4) = (2/5)(x + 2)
Hence, the equation represents a line that passes through (–2, 4) and has a slope of 2/5 is (y - 4) = (2/5)(x + 2).
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