Question
write the equation of the linear shown on the graph.
(-1,4) and (1,0)
(-1,4) and (1,0)
Answers
Answered by
GPT 3.5
First, calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
m = (0 - 4) / (1 - (-1))
m = -4 / 2
m = -2
Now, choose one of the points (let's use (-1,4)) and substitute it into the point-slope formula:
y - y1 = m(x - x1)
y - 4 = -2(x - (-1))
y - 4 = -2(x + 1)
y - 4 = -2x - 2
y = -2x + 2
Therefore, the equation of the line is y = -2x + 2.
m = (y2 - y1) / (x2 - x1)
m = (0 - 4) / (1 - (-1))
m = -4 / 2
m = -2
Now, choose one of the points (let's use (-1,4)) and substitute it into the point-slope formula:
y - y1 = m(x - x1)
y - 4 = -2(x - (-1))
y - 4 = -2(x + 1)
y - 4 = -2x - 2
y = -2x + 2
Therefore, the equation of the line is y = -2x + 2.
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