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Sagot :
We are given the equation in standard form.
[tex]10x-2y=6[/tex]To convert this equation into the slope-intercept form, we have to separate the variable y.
Step 1:
Add 2y to both sides of the equation and simplify
[tex]\begin{gathered} 10x-2y+2y=6+2y \\ 10x=6+2y \end{gathered}[/tex]Step 2:
Subtract 6 from both sides of the equation and simplify
[tex]\begin{gathered} 10x-6=-6+6+2y \\ 10x-6=2y \end{gathered}[/tex]Step 3:
Divide both sides of the equation by 2 and simplify
[tex]\begin{gathered} \frac{10x-6}{2}=\frac{2y}{2} \\ \frac{10x}{2}-\frac{6}{2}=y \\ 5x-3=y \end{gathered}[/tex]Finally, simply rewrite the equation as
[tex]y=5x-3[/tex]Therefore, the equation is converted to slope-intercept form.
The slope is m = 3 and the y-intercept is b = -3
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