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Step-3

Title: Slope & Line Segment

Grade: 8-a Lesson: S1-L4

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	If the slope of a line joining A(4,x)B(−5,9) is 1 then find x.
2	Formula:	The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:	m = \$ (y2 - y1) / (x2 - x1) \$
3	Step	In this case, we have the points A(4, x) and B(-5, 9), so the slope (m) is:	m = \$(9 - x) / (-5 - 4)\$
4	Step	Since we know that the slope is 1, we can set the equation equal to 1 and solve for x:	\$1 = (9 - x) / (-5 - 4)\$
5	Step	Now, let’s simplify the equation and solve for x:	\$1 = (9 - x) / (-9)\$
6	Step	Cross-multiply to get rid of the fraction:	\$1 * (-9) = 9 - x\$ \$-9 - 9 = x\$ ⇒ x = 18
7	Step	Therefore, if the slope of a line joining A(4,x) and B(-5,9) is 1 then	x = 18
8		Answer	A

Step

Type

Explanation

Answer

Problem

If the slope of a line joining A(4,x)B(−5,9) is 1 then find x.

Formula:

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

m = \$ (y2 - y1) / (x2 - x1) \$

Step

In this case, we have the points A(4, x) and B(-5, 9), so the slope (m) is:

m = \$(9 - x) / (-5 - 4)\$

Step

Since we know that the slope is 1, we can set the equation equal to 1 and solve for x:

\$1 = (9 - x) / (-5 - 4)\$

Step

Now, let’s simplify the equation and solve for x:

\$1 = (9 - x) / (-9)\$

Step

Cross-multiply to get rid of the fraction:

\$1 * (-9) = 9 - x\$

\$-9 - 9 = x\$

⇒ x = 18

Step

Therefore, if the slope of a line joining A(4,x) and B(-5,9) is 1 then

x = 18

Answer