Slope = 1
y-intercept = -3, which can be expressed as (0,-3).
y - y_1 = m(x - x_1)
y -(-3) = 1(x - 0)
y + 3 = x
The slope-intercept form is
y = x - 3.
The standard form is Ax + By = C.
y = x - 3
3 = x - y
Done.
2(3r+7)−(2+r)
Use distributive property:
6r + 14 - 2 - r
Simplify by combining like terms:
5r +12
This shape is separated into two trapezoids. The equation for the area of a trapezoid is .5(base1 + base2) multiplied by height. Therefore, each half of the compound shape would be equal to .5(12 + 8) * 6 or 10 * 6 = 60. So the area of the total would be 60+60 or 120.
