What is the solution of the following equation? 2 – 8x = -6

Is the ordered pair (-2, 9) a solution of the equation y = x - 7?

Solve the following equation. 3(z – 2) – z = 4z – 20

Find the slope of the line that passes through the points (4, 8) and (10, 5) using the slope formula.

Use the point-slope formula to find an equation for the line that is parallel given line and passes through the given point.
y = 3x + 2; (3, 8)


Graph the line y = 2x + 3

You try first.

I passed the course in 1952.

To find the solution to the equation 2 - 8x = -6, you need to isolate x.

Step 1: Start by adding 6 to both sides of the equation to eliminate the constant on the right side.
2 - 8x + 6 = -6 + 6
8 - 8x = 0

Step 2: Divide both sides of the equation by -8 to isolate x.
(8 - 8x) / -8 = 0 / -8
1 - x = 0
-x = -1

Step 3: Multiply both sides of the equation by -1 to solve for x.
-x * (-1) = -1 * (-1)
x = 1

Therefore, the solution to the equation 2 - 8x = -6 is x = 1.

To determine if the ordered pair (-2, 9) is a solution of the equation y = x - 7, you can substitute the values of x and y into the equation and see if it holds true.

Substituting x = -2 and y = 9 into the equation:
9 = -2 - 7

Simplifying the equation:
9 = -9

Since the equation is not true, the ordered pair (-2, 9) is not a solution of the equation y = x - 7.

To solve the equation 3(z - 2) - z = 4z - 20, you need to simplify and isolate z.

Step 1: Distribute the 3 to the terms inside the parentheses.
3z - 6 - z = 4z - 20

Step 2: Combine like terms on both sides of the equation.
2z - 6 = 4z - 20

Step 3: Move the variable terms to one side of the equation by subtracting 2z from both sides.
2z - 2z - 6 = 4z - 2z - 20
-6 = 2z - 20

Step 4: Add 20 to both sides of the equation to eliminate the constant on the right side.
-6 + 20 = 2z - 20 + 20
14 = 2z

Step 5: Divide both sides of the equation by 2 to solve for z.
(14) / 2 = (2z) / 2
7 = z

Therefore, the solution to the equation 3(z - 2) - z = 4z - 20 is z = 7.

To find the slope of the line passing through the points (4, 8) and (10, 5) using the slope formula, you can follow these steps:

Step 1: Identify the coordinates of the two points.
Point 1: (4, 8)
Point 2: (10, 5)

Step 2: Use the slope formula:
slope = (y2 - y1) / (x2 - x1)

Step 3: Substitute the values into the formula:
slope = (5 - 8) / (10 - 4)

Step 4: Simplify the expression:
slope = -3 / 6
slope = -1/2

Therefore, the slope of the line passing through the points (4, 8) and (10, 5) is -1/2.

To find an equation for the line that is parallel to the given line y = 3x + 2 and passes through the given point (3, 8) using the point-slope formula, you can follow these steps:

Step 1: Start with the given equation:
y = 3x + 2

Step 2: Identify the slope of the given line. In this case, the slope is 3.

Step 3: Use the point-slope formula:
y - y1 = m(x - x1)

Step 4: Substitute the values into the formula. In this case, (x1, y1) = (3, 8) and m = 3:
y - 8 = 3(x - 3)

Step 5: Simplify the equation:
y - 8 = 3x - 9

Therefore, an equation for the line that is parallel to y = 3x + 2 and passes through the point (3, 8) is y - 8 = 3x - 9.

To graph the line y = 2x + 3, you can plot a few points and draw a line through them:

Step 1: Choose a few x-values and substitute them into the equation to find the corresponding y-values. Let's choose x = -2, 0, and 2.

For x = -2:
y = 2(-2) + 3
y = -4 + 3
y = -1
So, one point is (-2, -1).

For x = 0:
y = 2(0) + 3
y = 0 + 3
y = 3
So, another point is (0, 3).

For x = 2:
y = 2(2) + 3
y = 4 + 3
y = 7
So, another point is (2, 7).

Step 2: Plot the points (-2, -1), (0, 3), and (2, 7) on a coordinate grid.

Step 3: Draw a straight line through the points to represent the graph of the equation y = 2x + 3.

The resulting graph should show a line that passes through the points (-2, -1), (0, 3), and (2, 7) and extends infinitely in both directions.