Since the given line has a slope of -1/2, the perpendicular line will have a slope of 2 (since the product of the slopes of perpendicular lines is -1).
We can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (-5,1) and the slope m = 2:
y - 1 = 2(x - (-5))
y - 1 = 2(x + 5)
y - 1 = 2x + 10
Finally, rearranging the equation:
2x - y = -9
Therefore, the equation of the line that satisfies the given conditions is 2x - y = -9.
Find an equation of the line that satisfies the given conditions
Through (-5,1) perpendicular to the line y=-1/2x+6
1 answer