Use the graph to answer the question.
A line through point D, which is labeled x y. The line also goes through points F & H. Triangles D E F & H G F are marked as described in the text & have points at D (8, 3); E (0, 3); F (0, negative 1); G (0, negative 3); & H (negative 4, negative 3).
Which equation represents the line?
Responses
A. y=2x−1
y is equal to 2 x minus 1
B. y=−12x+1
y is equal to negative 1 half x plus 1
C. y=−2x+1
y is equal to negative 2 x plus 1
D. y=12x−1
To find the equation of the line passing through points D (8,3), F (0,-1), and H (-4,-3), we first need to find the slope of the line. Using points D and F:
Slope = (y2 - y1) / (x2 - x1)
Slope = (-1 - 3) / (0 - 8)
Slope = (-4) / (-8)
Slope = 1/2
Now that we have the slope, we can substitute one of the points (let's use point F: (0,-1)) into the point-slope form of the equation of a line (y - y1 = m(x - x1)):
y - (-1) = (1/2)(x - 0)
y + 1 = (1/2)x
y = (1/2)x - 1
Therefore, the equation representing the line is:
A. y = 1/2x - 1