Points, Lines, and Line Segments

Points can be described as precise positions in space, indicated by small dots. Lines, on the other hand, are unswerving paths that stretch endlessly in both directions. Line segments, however, are segments of lines that have two distinct endpoints. These segments depict a specific length within the boundless extension of a line.

Finding a Point's Quadrant

Preview Question $\equiv$ 1 تمثيل الانعكاس بيانيا في المستوى الإحداثي (i) Which of the following is the reflection of the point $K(-2,-5)$ in the $x$-axis? أي هن النقاط التالية هي انعكاس للنتطة بالنسبة للمحور الألققي $K$ ؟ $K(-2,-5)$ a. $K^{\prime}(-2,5)$ b. $K^{\prime}(-5,-2)$ c. $K^{\prime}(5,2)$ d. $K^{\prime}(2,5)$

Finding the Midpoint of a Line Segment

Point $\mathrm{C}$ has coordinates $(22,18)$. Point D has coordinates $(10,28)$. What are the coordinates of the midpoint of line $\mathrm{CD}$ ?

Distance Formula

Find the distance between the two points. Simplify your answer, and write the exact answer in simplest radical form for irrational answers. \[ (x, y)=(-8,3) \text { and }(x, y)=(3,-9) \]

Finding Equations Using Slope-Intercept

14 The point $(3,10)$ lies on the line $y=3 x+1$ Complete the coordinates for two other points that lie on this line. (5, 1)

Finding the Start Point Given the Mid and End Points

11. Given that $M$ is the midpoint of $\overline{A B}, A M=x+6$, and $A B=4 x+6$, find $x$.

Finding the End Point Given the Start and Mid Points

If points $C, D$, and $E$ are on a line and $C D=20$ and $C E=32$, what are the possible values of $D E$ ?

Finding the Slope

$(4,8)$ and $(4,-9)$ Select the correct choice below and fill in the answer box within your choice. A. The slope is $\square$. (Simplify your answer.) B. The slope is undefined. Indicate whether the line through the points rises, falls, is horizontal, or is vertical. The line rises from left to right. The line is vertical. The line falls from left to right. The line is horizontal.

Finding the y Intercept

The equation of a line is given below. \[ -x+4 y=8 \] Find the $x$-intercept and the $y$-intercept. Then use them to graph the line. Continue

Finding the Slope and y-Intercept

Question Watch Video Show Examples Find the slope of a line parallel to the line whose equation is $2 x+12 y=-192$. Fully simplify your answer. Answer Attempt 1 out of 2

Finding the Equation of the Parabola

L.15 Point-slope form: write an equation PPE A line with a slope of -9 passes through the point $(-6,4)$. What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. Submit

Finding the Average Rate of Change

Calculate the average rate of change of the function $f(x) = 2x + 3$ between the points $(1, f(1))$ and $(3, f(3))$.

Finding the Slope of the Perpendicular Line to the Line Through the Two Points

Question A line goes through the points $(-1,4)$ and $(-2,3)$. Find its slope. Enter your answer as a simplified improper fraction, if necessary. Do not include " $m=$ " in your answer.