For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut point with the y axis.
By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be 
We substitute the given point to find b:
Finally the line is:
Answer:
Well the area of a trapezoid is defined by the following formula:
A =
where b₁ and b₂ are the bases of the trapezoid and h is the height of the trapezoid.
Let's plug in what we know into this formula:
h = 7 the perpendicular distance between the two bases
b₁ = 15 the shorter parallel side
b₂ = 25 the longer parallel side made up of 4 + 15 + 6
so, A =
This is in square units of measure of course, so 140 in²
The greater than and less than equal signs determine which way the graph is shaded. The graphs follow the same line but are shaded in different directions. y<-x+2 is shaded below the line because the sign is less than (<). y>-x+2 is shaded above the line because the sign is greater than (>).
F(x) = 3x + 1.....this is the same as y = 3x + 1.
In y = mx + b form, which is what y = 3x + 1 is in, the rate of change (slope) is in the m position and the y int (the initial value) is in the b position.
y = mx + b
y = 3x + 1
ur rate of change (slope)...number in the m position = 3
ur initial value (y int)...number in the b position = 1
so rate of change = 3 and initial value = 1
