# Give the equation of the line perpendicular to the line described and satisfying the given conditions. y=-(4/3)x+5 with y-intercept (0, -8) Question
Linear equations and graphs 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) 2021-02-04
Perpendicular lines have slopes that are negative reciprocals. Since the slope of the given line is $$\displaystyle-{\left(\frac{{4}}{{3}}\right)}$$ so the required slope is $$\displaystyle{m}=\frac{{3}}{{4}}$$. The y-intercept is (0,-8) so b=-8
Using slope-intercept form of a line, the equation is: y=mx+b
$$\displaystyle{y}=\frac{{3}}{{4}}{x}−{8}$$

### Relevant Questions Given linear equation y = -0.75x-5
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. We give linear equations. For each equation,
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.
y=0.5x−2 We give linear equations. For each equation,
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.
y=-3 Given linear equation y = -8-4x
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. a. Use a graphing calculator to find the equation of the line of best fit for the data below. Let x=8 represent 1998, x=9 represent 1999, and so on.
b. What is the slope of the line of best fit? What does the slope mean in terms of the number of computer and video game units sold?
c. What is the y-intercept of the line of best fit? What does the y-intercept mean in terms of the number of computer and viedo game units sold? Given linear equation y = 0.5x – 2
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. 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. Given linear equation y = -3
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  