In Problem, determine the equation of the line that satisfies the stated requirements. Put the equation in standard form.

The line passing through $(-2,5)$ and perpendicular to the vertical line passing through $(-1,4)$

Find the value of x or y that satisfies the given conditions. Then graph the line.

Write an equation for a line containing (-8, 12) that is perpendicular to the line containing the points (3, 2) and {-7, 2).

In Problem, determine the equation of the line that satisfies the stated requirements. Put the equation in standard form.

The line passing through $(-2,3)$ and parallel to the vertical line passing through $(2,1)$

Use the point on the line and the slope $m$ of the line to find three additional points through which the line passes. (There are many correct answers.)

$$(0, -9), \hspace{0.3cm}m=-2$$

Use the construction of a line perpendicular to a given line through a given point and the construction of a segment congruent to a given segment to construct the reflection of each figure across a line. a segment

Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through $(2,4)$ and has the same $y$-intercept as the line whose equation is $x-4 y=8$.

Use the point on the line and the slope of the line to find three additional points that the line passes through. (There is more than one correct answer.) Point (-4, 3). m is undefined.

Two lines in the same plane that do not intersect are called parallel lines.

Draw a line parallel to the line $y=-1$ that intersects the $y$-axis at $(0,-4)$. What is the equation of this line?

Use the construction of a line perpendicular to a given line through a given point and the construction of a segment congruent to a given segment to construct the reflection of each figure across a line. a triangle

(A) Find the slope of the line that passes through the given points. (B) Find the standard form of the equation of the line. (C) Find the slope-intercept form of the equation of the line. $(1,4)$ and $(0,4)$

Use the point on the line and the slope $m$ of the line to find three additional points through which the line passes. (There are many correct answers.)

$$(7,-2), \hspace{0.3cm}m=\frac12$$

Use the point on the line and the slope $m$ of the line to find three additional points through which the line passes. (There are many correct answers.)

$$(10, -6), \hspace{0.3cm}m=-1$$

(A) Find the slope of the line that passes through the given points. (B) Find the standard form of the equation of the line. (C) Find the slope-intercept form of the equation of the line. $(1,4)$ and $(0,4)$

(a) Find an equation for the line tangent to the circle $x^2+y^2=25$ at the point $(3,-4)$.

(b) At what other point on the circle will a tangent line be parallel to the tangent line in part (a)?