QQuestionMathematics
QuestionMathematics
What is an equation in point-slope form of the line that passes through (−7, 1) and (−3, 9)?
A. y + 3 = 2(x − 9)
B. y − 3 = 2(x + 9)
C. y + 9 = 2(x − 3)
D. y − 9 = 2(x + 3)
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Answer
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Step 1:Calculate the slope
\frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 1}{-3 - (-7)} = \frac{8}{4} = 2
The slope is found by dividing the change in y by the change in x.
Step 2:Write point-slope form using (−3, 9)
y - 9 = 2(x + 3)
Substitute the slope and the point (−3, 9) into the point-slope formula.
Final Answer
y - 9 = 2(x + 3)
The equation in point-slope form is option D.
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