The equation of the line is \(\boxed{y = - 2x + 3}.\)
Further explanation:
The linear equation with slope m and intercept c is given as follows.
\(\boxed{y = mx + c}\)
The formula for slope of line with points \(\left( {{x_1},{y_1}} \right)\) and \(\left( {{x_2},{y_2}} \right)\) can be expressed as,
\(\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}\)
Given:
The equation is \(4x + 2y = 6.\)
Explanation:
The given linear equation is \(4x + 2y = 6.\)
Solve the linear equation \(4x + 2y = 6\) to obtain the slope intercept form.
\(\begin{aligned}4x + 2y &= 6\\2y &= - 4x + 6\\\frac{{2y}}{2}&= \frac{{ - 4x}}{2} + \frac{6}{2}\\y&= - 2x + 3\\\end{aligned}\)
The equation of the line is \(\boxed{y = - 2x + 3}.\)
Learn more:
- Learn more about inverse of the functionhttps://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: numbers, intercept form, slope-intercept form, linear equation, 4x + 2y = 6,slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.
