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!

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold