Question 1051545
your equation is:


highway mpg = 6.785 + 1.033 * city mpg


the slope would be 1.033.
the y-intercept would be 6.785


if you let y = highway mpg and you let x = city mpg, the equation becomes:


y = 6.785 + 1.033 * x


if you re-order the terms in descending order of degree, you get:


y = 1.033 * x + 6.785


this is the slope intercept form of the equation for a straight line.


that form is y = mx + b


m is the slope and b is the y-intercept.


when the car gets 11 miles per gallon in the city, x is equal to 11.


formula becomes y = 1.033 * 11 + 6.785


solve for y to get y = 18.148 miles per gallon.


you can graph the equation and find the intersect between the equation and the vertical line of x = 11.


the intersection should be at y = 18.148.


the coordinate point should show at (11,18.148).


here's the graph.


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