Write the equation of the line that passes through the points (−1,−4) and (6,−8). 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,−4) and (6,−8). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.Answer:
Calculate Slope: Find the slope of the line using the two given points.The slope m of a line passing through two points (x1,y1) and (x2,y2) is given by the formula m=x2−x1y2−y1.Using the points (−1,−4) and (6,−8), we calculate the slope as follows:m=6−(−1)−8−(−4)m=6+1−8+4m=7−4
Write Point-Slope Equation: Use one of the points and the slope to write the equation in point-slope form.The point-slope form of the equation of a line is y−y1=m(x−x1), where m is the slope and (x1,y1) is a point on the line.Using the slope −74 and the point (−1,−4), the equation becomes:y−(−4)=(−74)(x−(−1))y+4=(−74)(x+1)
Simplify Equation: Simplify the equation if necessary.In this case, the equation is already in the correct form and does not need further simplification.
More problems from Write a linear equation from a slope and a point