Solutions to a quadratic equation are -7 and 1. What is the equation of its axis of symmetry?

Axis of symmetry: x=-4

Step-by-step explanation:

If x=-7 and x=-1 are solutions to a quadratic equation, then that quadratic equation must be (x+1)(x+7)=0 -> x^2+8x+7=0 as both solutions satisfy the Zero Product Property where the function is f(x)=x^2+8x+7. The axis of symmetry would be the line x=-b/2a which means the axis of symmetry is x=-(8)/2(1)=-8/2=-4 -> x=-4. It can also be found by turning f(x)=x^2+8x+7 into f(x)=(x+4)^2-9 by completing the square, and since h=-4, then the axis of symmetry would be x=h=-4. Refer to the graph.

Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs.

This situation can be represented with a linear equation written in point-slope form,  

Let 'x' represents the number of minutes and,

y represents the number of paragraphs.  

In one minute Mila reads 2 paragraphs .

So, y=2x

Let x=1 then y=2

x=2 then y =4

Here slope of equation is 2

Let( x1, y1) and (x2,y2) be the two point the equation y=2x the ,

we can write, (y2 - y1) = m(x2 - x1)

or (y2 - y1) = 2(x2 - x1)