Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
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
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
