Write the equation of a line perpendicular to y=1/4x-5 that passes through the point (-1,2)

Question
Linear equations and graphs
asked 2020-12-27
Write the equation of a line perpendicular to \(\displaystyle{y}=\frac{{1}}{{4}}{x}-{5}\) that passes through the point (-1,2)

Answers (1)

2020-12-28
Use the point-slope form of a line:
y−y1=m(x−x1) where mm is the slope and (x1,y1) is a point on the line.
Two lines are perpendicular if their slopes are negative reciprocals. The given line $ \(\displaystyle{y}={\frac{{{1}}}{{{4}}}}{x}-{5}\$\) has a slope of −4. So, the slope of the perpendicular line is:
m=−4
Substitute (x1,y1)=(−1,2) so that we have:
y−2=−4(x−(−1))
y−2=−4x−4
y=−4x−2
0

Relevant Questions

asked 2020-11-20
A line passes through the point (2, 1) and has a slope of \(\frac{-3}{5}\).
What is an equation of the line?
A.\(y-1=\frac{-3}{5}(x-2)\)
B.\(y-1=\frac{-5}{3}(x-2)\)
C.\(y-2=\frac{-3}{5}(x-1)\)
D.\(y-2=\frac{-5}{3}(x-1)\)
asked 2021-01-16
Write an equation of the line that passes through the points.
(2, 5), (0, 5)
asked 2021-02-03
Give the equation of the line perpendicular to the line described and satisfying the given conditions. \(\displaystyle{y}=-{\left(\frac{{4}}{{3}}\right)}{x}+{5}\) with y-intercept (0, -8)
asked 2021-01-15
Find the value of r so the line that passes through each pair of points has the given slope. (r, -5), (3, 13), m = 8
asked 2020-12-03
A graph of a linear equation passes through ( -2,0) & (0,-6) is the 3x-y=6, both ordered pairs solutions for the equation
asked 2021-03-05
Write the equation of the line that is perpendicular to y = 7x - 3 and passes through the origin.
asked 2021-02-16
Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers.
asked 2020-10-26
Determine the value of k for which the point (- 2, 3) lies on the line whose equation is . 4x+3ky=10
asked 2021-01-05
Write an equation of the perpendicular bisector of the segment with the endpoints A(-2,-2) and B(6,0).
asked 2020-11-02
Given linear equation y = 3+4x
a. find the y-intercept and slope.
b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.
c. use two points to graph the equation.
...