Write the equation of the line that passes through the point (11,6) and is parallel to y=7.5x―3

y=7.5x-76.5

Step-by-step explanation:

If graphs are parallel, that means that they have same slope but different y-intercept. So for new equation slop will be 7.5. y=7.5x+?. Now we have to solve for ? which is also known as y-intercept. To solve it, we have to put values into that equations using coordinates. So coordinate is (11,6) which means that if x is 11, y is 6. When we put this information to new graph equation, it will be 6=7.5(11)+?. When you multiply 7.5 and 11, you get 82.5. So the equation will be like this. 6=82.5+?. Now lets solve for y-intercept. You'll have to subtract 82.5 on 6. 6-82.5=-76.5. So we got y-intercept which is -76.5. Now lets put all the information into one equation. y=7.5x-76.5. That's you're equation of the line that passes through the point (11,6) and is parallel to y=7.5x-3. It is important you to understand this type of questions and not stuck again on same types of questions. Please study more even though you can solve any questions like this. Thank you for reading this long paragraph. Good luck with you're EOC!

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