Write the equation of the line that passes through the points (−1,6) and (−3,−6). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.Answer:
Q. Write the equation of the line that passes through the points (−1,6) and (−3,−6). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.Answer:
Calculate slope using formula: Calculate the slope (m) of the line using the formula m=(x2−x1)(y2−y1). We have the points (−1,6) and (−3,−6), so let's plug these into the formula: m=(−3−(−1))(−6−6)=(−2)(−12)=6.
Use point-slope form: Use the point-slope form of the equation of a line, which is y−y1=m(x−x1).We can use either of the two points for (x1,y1). Let's use the first point (−1,6).
Substitute slope and point: Substitute the slope m and the point (−1,6) into the point-slope form equation.y−6=6(x−(−1)) simplifies to y−6=6(x+1).
Check for simplification: Check the equation for any possible simplification.The equation y−6=6(x+1) is already in the simplest point-slope form, so no further simplification is needed.
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