The problem presents a linear equation: $y = -3x + 6$. We are likely being asked to find some property or to graph the line.

AlgebraLinear EquationsSlope-intercept formX-interceptY-interceptCoordinate Geometry
2025/4/28

1. Problem Description

The problem presents a linear equation: y=3x+6y = -3x + 6. We are likely being asked to find some property or to graph the line.

2. Solution Steps

Without knowing the specific question, we can analyze the given linear equation y=3x+6y = -3x + 6.
This is a linear equation in slope-intercept form:
y=mx+by = mx + b
where mm is the slope and bb is the y-intercept.
In our case, m=3m = -3 and b=6b = 6. Therefore, the slope of the line is 3-3, and the y-intercept is (0,6)(0, 6).
To find the x-intercept, we set y=0y = 0 and solve for xx:
0=3x+60 = -3x + 6
3x=63x = 6
x=63x = \frac{6}{3}
x=2x = 2
Therefore, the x-intercept is (2,0)(2, 0).

3. Final Answer

Without a specific question, we can say that the slope is 3-3, the y-intercept is (0,6)(0, 6), and the x-intercept is (2,0)(2, 0).

Related problems in "Algebra"

Find the equation of the line that passes through the points $(-5, -3)$ and $(10, -6)$.

Linear EquationsSlope-Intercept FormCoordinate Geometry
2025/4/29

The problem is to solve the equation $\frac{x}{7} = 18$ for $x$.

Linear EquationsSolving EquationsVariables
2025/4/29

We are given that a line has an x-intercept of 5 and a y-intercept of 3. We need to find the equatio...

Linear EquationsInterceptsSlope-intercept formEquation of a line
2025/4/29

The problem requires us to solve the inequality $20 + 7x \le 34$ and graph the solution on the numbe...

InequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28

The problem asks us to write the inequality in terms of $x$ that each of the given diagrams represen...

InequalitiesNumber LineGraphing Inequalities
2025/4/28

We are given two problems. (a) We are given a number line with a filled circle at -3 and an arrow po...

InequalitiesNumber LineSolving Inequalities
2025/4/28

The problem asks to write down the inequality in $x$ represented by the given number line diagram. T...

InequalitiesNumber LineAlgebraic Representation
2025/4/28

The problem is to simplify the expression $(x^2 + 2xy + y^2) - 4z^4$.

Algebraic simplificationFactoringDifference of squaresPerfect square trinomials
2025/4/28

The problem asks us to solve the inequality $2 > \frac{d}{2}$ and graph the solution on a number lin...

InequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28

The problem requires us to solve the inequality $b + 45 \ge 48$ and then graph the solution on a num...

InequalitiesNumber LineSolving InequalitiesGraphing Inequalities
2025/4/28