91Ó°ÊÓ

Write an equation in slope-intercept form of \(a\) linear function \(f\) whose graph satisfies the given conditions. The graph of \(f\) passes through \((-2,6)\) and is perpendicular to the line whose equation is \(x=-4.\)

Determine whether the graph of each equation is symmetric with respect to the \(y\) -axis, the \(x\) -axis, the origin, more than one of these, or none of these. $$y^{2}=x^{2}-2$$

use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope \(=\frac{1}{3},\) passing through the origin

As in Exercise \(21,\) you have 800 feet of fencing to enclose a rectangular field. However, one side of the field lies along a canal and requires no fencing. Express the area of the field, \(A,\) as a function of one of its dimensions, \(x.\)

In Exercises \(19-30\), find the midpoint of each line segment with the given endpoints. $$(-3,-4) \text { and }(6,-8)$$

Write an equation in slope-intercept form of \(a\) linear function \(f\) whose graph satisfies the given conditions. The graph of \(f\) passes through \((-6,4)\) and is perpendicular to the line that has an \(x\) -intercept of 2 and a \(y\) -intercept of \(-4.\)

Determine whether the graph of each equation is symmetric with respect to the \(y\) -axis, the \(x\) -axis, the origin, more than one of these, or none of these. $$y=2 x+3$$

Determine whether each equation defines \(y\) as a function of \(x .\) $$x y+2 y=1$$

use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope \(=-\frac{2}{3},\) passing through \((6,-2)\)

Find the domain of each function. $$f(x)=\sqrt{24-2 x}$$