함수 전체 문제

Find an Equation of a Line Perpendicular to a Given Line

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope–intercept form.

line $y=3$, point $(-1,-3)$

Find an Equation of a Line Perpendicular to a Given Line

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope–intercept form.

line $x=-5$ point $(2,1)$

Determine whether each ordered pair is a solution to the inequality $y<x-3$:

• ⓐ $(0,1)$
• ⓑ $(-2,-4)$
• ⓒ $(5,2)$
• ⓓ $(3,-1)$
• ⓔ $(-1,-5)$

Determine whether each ordered pair is a solution to the inequality $x+y>4$:

• ⓐ $(6,1)$
• ⓑ $(-3,6)$
• ⓒ $(3,2)$
• ⓓ $(-5,10)$
• ⓔ $(0,0)$

Plot each point in a rectangular coordinate system.

• ⓐ $(2,5)$
• ⓑ $(-1,-3)$
• ⓒ $(0,2)$
• ⓓ $\left(-4,\frac{3}{2}\right)$
• ⓔ $(5,0)$

Which of the given ordered pairs are solutions to the equation $3x-y=6$?

• ⓐ $(3,3)$
• ⓑ $(2,0)$
• ⓒ $(4,-6)$

Find three solutions to the linear equation $y=-2x-4$.

Find the x- and y-intercepts of the equation $4x-3y=12$.

Find the slope of the line between the points $(5,2)$ and $(-1,-4)$.

Find the equation of each line. Write the equation in slope–intercept form.

slope $-\frac{3}{4}$ and y-intercept $(0,-2)$

Find the equation of each line. Write the equation in slope–intercept form.

$m=2$, point $(-3,-1)$

Find the equation of each line. Write the equation in slope–intercept form.

containing $(10,1)$ and $(6,-1)$

Find the equation of each line. Write the equation in slope–intercept form.

parallel to the line $y=-\frac{2}{3}x-1$, containing the point $(-3,8)$

Find the equation of each line. Write the equation in slope–intercept form.

perpendicular to the line $y=\frac{5}{4}x+2$, containing the point $(-10,3)$

For the equation $y=\frac{2}{3}x-4$

ⓐ is $(6,0)$ a solution? ⓑ is $(-3,-2)$ a solution?

Find the slope and y-intercept of the line $3x-y=12$.

Find the x- and y-intercepts of the line $2x-3y=12$.

Determine whether the ordered pair is a solution to the system: $\left\{\begin{array}{l}x-y=-1 \\ 2x-y=-5\end{array}\right.$

ⓐ $(-2,-1)$ ⓑ $(-4,-3)$

Determine whether the ordered pair is a solution to the system: $\left\{\begin{array}{l}3x+y=0 \\ x+2y=-5\end{array}\right..$

ⓐ $(1,-3)$ ⓑ $(0,0)$

Determine whether the ordered pair is a solution to the system: $\left\{\begin{array}{l}x-3y=-8 \\ -3x-y=4\end{array}\right..$

ⓐ $(2,-2)$ ⓑ $(-2,2)$