Question
A line crosses the y axis at (0,4) and has a slope of -2 find an equation for this line
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GPT 3.5
Since the line passes through the y-axis at (0,4), the y-intercept is 4. The slope of the line is -2.
Using the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope, we can substitute the values into the equation:
y - 4 = -2(x - 0)
Simplifying,
y - 4 = -2x
Adding 4 to both sides,
y = -2x + 4
Therefore, the equation for this line is y = -2x + 4.
Using the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope, we can substitute the values into the equation:
y - 4 = -2(x - 0)
Simplifying,
y - 4 = -2x
Adding 4 to both sides,
y = -2x + 4
Therefore, the equation for this line is y = -2x + 4.
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