Math Problem Statement

Find an equation for the line with the given properties. Express your answer using either the general form or the​ slope-intercept form of the equation of a line. Parallel to the line y equals 2 x​; containing the point left parenthesis negative 2 comma 3 right parenthesis

Solution

To find the equation of a line that is parallel to y=2xy = 2x and passes through the point (−2,3)(-2, 3), follow these steps:

Step 1: Determine the slope

The slope-intercept form of the line is given as y=2xy = 2x, which means the slope m=2m = 2. Since the lines are parallel, they share the same slope. Therefore, the slope of the new line is also m=2m = 2.

Step 2: Use the point-slope form

The point-slope form of a line is

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slopes of Parallel Lines

Formulas

Slope-intercept form: y = mx + b
Point-slope form: y - y1 = m(x - x1)

Theorems

Parallel lines have equal slopes

Suitable Grade Level

Grades 8-10

Related Recommendation

Find the Equation of a Line Parallel to y = 2x Passing Through (-2, 3)

Find the Equation of a Line Parallel to y = -3x + 2 Passing Through (3, 2)

Find the Equation of a Line Passing Through (3, 2) and Parallel to 3x + y = -3

Find the Equation of a Line Parallel to a Graphed Line through Point (-3, 2)

Write an Equation for a Line Parallel to y = 3x through Point (1, -2)