Question

What is the equation of this graphed line?

Enter your answer in slope-intercept form (y = mx + b) in the
box

Answer 1

Hey there!

We are given 2 points that the line passes through, so we can easily determine the slope of the line:

`\bold{\displaystyle(y2-y1)/(x2-x1) }`

`\bold{\displaystyle(-2-7)/(8-0)=(-9)/(8) }`

So now we have the slope.

However, we also need to find the y-intercept (we are actually given the y-intercept, (0,7) or just 7)

Hence, the equation is

`\boxed{\boxed{\bold{y=-(9)/(8) x+7}}}`

Hope everything is clear.

Let me know if you have any questions; if you do, please comment.

#LearningDoesn'tEnd

Answer 2

`y = - (9)/(8) x + 7`

Explanation:

`m = ( - 2 - 7)/(8 - 0) = ( - 9)/(8)`

Since this line passes through (0,7), then this point satisfies the equation of the line;

`y = ( - 9)/(8) x + b`

`7 = ( - 9)/(8) (0) + b`

`7 = b`

`b = 7`