The problem asks us to create a table of $x$ and $y$ values for the line $y = 1 - 5x$, where $x$ ranges from $-2$ to $2$. We can choose integer values for $x$, namely $x = -2, -1, 0, 1, 2$.

AlgebraLinear EquationsCoordinate GeometryTable of Values
2025/4/30

1. Problem Description

The problem asks us to create a table of xx and yy values for the line y=15xy = 1 - 5x, where xx ranges from 2-2 to 22. We can choose integer values for xx, namely x=2,1,0,1,2x = -2, -1, 0, 1, 2.

2. Solution Steps

We are given the equation y=15xy = 1 - 5x. We will substitute the given values of xx into the equation to find the corresponding yy values.
For x=2x = -2:
y=15(2)=1+10=11y = 1 - 5(-2) = 1 + 10 = 11
For x=1x = -1:
y=15(1)=1+5=6y = 1 - 5(-1) = 1 + 5 = 6
For x=0x = 0:
y=15(0)=10=1y = 1 - 5(0) = 1 - 0 = 1
For x=1x = 1:
y=15(1)=15=4y = 1 - 5(1) = 1 - 5 = -4
For x=2x = 2:
y=15(2)=110=9y = 1 - 5(2) = 1 - 10 = -9
We can now write the table of xx and yy values.

3. Final Answer

| x | y |
|---|---|
| -2 | 11 |
| -1 | 6 |
| 0 | 1 |
| 1 | -4 |
| 2 | -9 |

Related problems in "Algebra"

We need to remove the brackets and collect like terms for the given expressions. I will solve proble...

Algebraic simplificationLinear expressionsCombining like termsDistribution
2025/6/19

The problem asks us to solve the equation $\lfloor 2x^3 - x^2 \rceil = 18x - 9$ for $x \in \mathbb{R...

EquationsCeiling FunctionReal NumbersCubic Equations
2025/6/19

The problem consists of 8 sub-problems. Each sub-problem contains an equation and a variable in pare...

Equation SolvingVariable IsolationFormula Manipulation
2025/6/19

The problem provides the equation of a parabola, $y = 3 - 2x - x^2$. We need to find the coordinates...

Quadratic EquationsParabolax-interceptTurning PointCoordinate Geometry
2025/6/19

The problem is to factorize the quadratic expression $2x^2 + 5x - 3$ completely.

Quadratic EquationsFactorizationPolynomials
2025/6/19

The problem consists of four parts. Part 1: Given the function $y = (2+x)(x-4)$, we need to sketch t...

Quadratic EquationsParabolaFactorizationGraphing
2025/6/19

The problem requires us to solve five exponential equations for $x$. The equations are: i. $5^{x+2} ...

Exponential EquationsExponentsSolving Equations
2025/6/19

The problem asks us to expand and simplify the given expressions involving products of two binomials...

Binomial ExpansionDifference of SquaresSimplification
2025/6/18

The problem asks us to simplify the given algebraic expressions by combining like terms. There are 1...

SimplificationCombining Like TermsAlgebraic Expressions
2025/6/18

The problem asks to simplify the algebraic expressions given in the image. I will solve problem numb...

Algebraic ExpressionsSimplificationCombining Like Terms
2025/6/18