The equation of the line is [tex]\boxed{y = - 2x + 3}.[/tex]
Further explanation:
The linear equation with slope m and intercept c is given as follows.
[tex]\boxed{y = mx + c}[/tex]
The formula for slope of line with points [tex]\left( {{x_1},{y_1}} \right)[/tex] and [tex]\left( {{x_2},{y_2}} \right)[/tex] can be expressed as,
[tex]\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}[/tex]
Given:
The equation is [tex]4x + 2y = 6.[/tex]
Explanation:
The given linear equation is [tex]4x + 2y = 6.[/tex]
Solve the linear equation [tex]4x + 2y = 6[/tex] to obtain the slope intercept form.
[tex]\begin{aligned}4x + 2y &= 6\\2y &= - 4x + 6\\\frac{{2y}}{2}&= \frac{{ - 4x}}{2} + \frac{6}{2}\\y&= - 2x + 3\\\end{aligned}[/tex]
The equation of the line is [tex]\boxed{y = - 2x + 3}.[/tex]
Learn more:
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.
