Question

What is the slope-intercept form of the equation 4x+2y=6

Answer 1

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:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function 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.

Answer 2

 4x+2y=6   ⇒  This is in standard form. 

Now, lets find the slope intercept form   ⇒  y = mx + b 

4x + 2y = 6
-4x           -4x

2y = -4x + 6

2y/2 = -4x/2 + 6/2
y = -2x + 3

Answer: y = -2x + 3