The problem asks us to find the equation of a line given its slope and y-intercept. The slope is given as $4$ and the y-intercept is given as $(0, 0)$. We need to write the equation in slope-intercept form.

AlgebraLinear EquationsSlope-Intercept Form
2025/3/6

1. Problem Description

The problem asks us to find the equation of a line given its slope and y-intercept. The slope is given as 44 and the y-intercept is given as (0,0)(0, 0). We need to write the equation in slope-intercept form.

2. Solution Steps

The slope-intercept form of a linear equation is given by:
y=mx+by = mx + b
where mm is the slope and bb is the y-intercept.
In this problem, we are given that the slope m=4m = 4 and the y-intercept is (0,0)(0, 0). This means that b=0b = 0.
Substituting these values into the slope-intercept form, we get:
y=4x+0y = 4x + 0
y=4xy = 4x

3. Final Answer

y=4xy = 4x

Related problems in "Algebra"

The problem asks to solve the quadratic equation $2x^2 - 7x + 3 = 0$.

Quadratic EquationsFactoringQuadratic FormulaRoots of Equations
2025/7/16

The image shows an L-shaped figure. The dimensions of the outer rectangle are given as $(2x+5)$ mete...

AreaRectanglePolynomialsExpansion
2025/7/16

We are given three problems to solve. Problem 5: Find four consecutive numbers that sum to 22. Probl...

Linear EquationsConsecutive NumbersWord Problems
2025/7/16

We are presented with three separate math problems. Let's define $x$ as the unknown number for each ...

Linear EquationsWord ProblemsEquation Solving
2025/7/16

The problem is to find the determinant of the given matrix: $ \begin{bmatrix} 1 & 3 & 2 \\ 0 & 4 & 3...

Linear AlgebraMatricesDeterminants
2025/7/15

The problem consists of five questions: 1. Find the percentage error in measured length, calculated...

Percentage ErrorLinear EquationsExponentsLogarithmsArithmetic ProgressionStatisticsMeanVarianceCalculusDefinite IntegralConeGeometry
2025/7/15

The problem consists of three parts: (a) incomplete Table 2.2 for $y = 2x^2 - 4x - 3$, (b) drawing t...

Quadratic EquationsGraphsCalculus (Gradient)Functions
2025/7/15

We are given several math problems. We need to find the determinant and inverse of matrices, solve a...

MatricesDeterminantsInverse MatricesQuadratic EquationsCompleting the SquareMeanGeometryAreaVolumeTrigonometry
2025/7/15

The problem asks to multiply the expression $36x$ by $63y$.

Algebraic ExpressionsMultiplicationVariables
2025/7/15

We are asked to expand and simplify the expression $(y+3)(y-4)(2y-1)$. We are also asked to make $x$...

Polynomial ExpansionSimplificationFormula ManipulationSolving for a Variable
2025/7/15