Question

Identify the slope and y intercept of the line 8x + 2y =6

Answer 1

Given:

8x + 2y = 6

Let's identify the slope and y-intercept of the equation.

To identify the slope and y-intercept, we are to the slope-intercept form of a linear equation:

y = mx + b

Where:

m represents the slope.

b represents the y-intercept.

Now, let's rewrite the given equation to the slope-intercept form.

Subtract 8x from both sides of the equation:

`\begin{gathered} 8x-8x+2y=-8x+6 \\ \\ 2y=-8x+6 \end{gathered}`

Divide all terms by 2:

`\begin{gathered} (2y)/(2)=-(8x)/(2)+(6)/(2) \\ \\ y=-4x+3 \end{gathered}`

Therefore, the equation in slope-intercept form is:

y = -4x + 3

Now, compare both equations:

y = mx + b

y = -4x + 3

Thus, we have the following:

Slope, m = -4

y-intercept, b = 3

Therefore, the slope of the line is -4 , while the y-intercept is 3 .

ANSWER:

• Slope = -4

,

• y-intercept = 3