Answer:
60 ft²
Step-by-step explanation:
You can divide the figure into 2 parts.
First, solve for the rectangle: Area of a rectangle = b*h = 4ft x 10ft = 40ft²
Then, solve for the triangle:
Height = 10ft - 5ft = 5ft
Base = 12ft - 4ft = 8ft
Area of a triangle = (b*h)/2 = (5ft x 8ft)/2 = 20ft²
Just add them together: 20ft² + 40ft² = 60ft²
:)
Given coordinates (1,3) and (0,1).
In order to find the equation of line, we need to find the slope between given coordinates.
We know slope formula,
m=
We have (x1,y1) = (1,3) and (x2,y2) = (0,1).
Plugging values of x1,y1,x2 and y2 in slope formula, we get
Simplifying top and bottom of the fraction we got for slope
We got slope m=2.
We are given second point (0,1), where x-coordinate is 0 and y-coordinate is 1.
y-intercept is a point on y-axis, where x=0.
Therefore, y-intercept = 1.
Now, applying slope-intercept form of the linear equation
y=mx+b, where m is the slope and b is y-intercept.
m=2 and b=1.
Plugging values of m and b in slope-intercept form, we get
y=2x+1.
Therefore, point-slope form for the line is y=2x+1.