Notice the picture below
all you really have is a rectangle and a triangle
so...notice the dimensions for the rectangle
and keep in mind that area of a triangle is 1/2 bh
thus, get their areas, and sum them up, that's the area of the polygon
Line B has slope m = (-3/2-0)/(4-0) = -3/8. The given point is the y-intercept (b = 7), so your equation is
y = mx +b . . . . . . . don't confuse the intercept variable (b) with the name of the line (here I called it B)
y = (-3/8)x +7
Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction
. Notice however that
is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.
-Image Provided-
The correct answer is D, y = 7x + 5
Calculate the slope by doing y2 - y1 / x2 - x1
y2 - y1 / x2 - x1
61 -33 / 8 - 4
28 / 4
7
Next find the y intercept by looking at the graph, which is 5 in the case
Put it together and you have y = 7x + 5, or option D
Answer:
y = 3x - 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m =
=
=
= 3
the line crosses the y- axis at (0, - 6 ) ⇒ c = - 6
y = 3x - 6 ← equation of line L