Respuesta :
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:
[tex]\begin{gathered} 8x-8x+2y=-8x+6 \\ \\ 2y=-8x+6 \end{gathered}[/tex]Divide all terms by 2:
[tex]\begin{gathered} \frac{2y}{2}=-\frac{8x}{2}+\frac{6}{2} \\ \\ y=-4x+3 \end{gathered}[/tex]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
