The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 1. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 6) and (2, -4) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -2\(\frac{1}{2}\)x + 1

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

b² - 7b + 10 = 0
(b - 2)(b - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b - 5) must equal zero:

If (b - 2) = 0, b must equal 2
If (b - 5) = 0, b must equal 5

So the solution is that b = 2 or 5

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 14cm + 8cm + 9cm = 31cm

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².