Question

What is the equation of the line in point-slope form?

y + 4 = 1/2 (x + 4)
y – 4 = 1/2 (x + 4)
y – 0 = 2(x - 4)
y – 4 = 2(x – 0)

Answer 1

A is the answer

Explanation:

Answer 2

Answer: The correct option is

(A)
`y+4=(1)/(2)(x+4).`

Step-by-step explanation: We are given to find the equation of the graphed line in point-slope form.

POINT-SLOPE FORM: The point-slope form of a line with slope 'm' and passing through a point (a, b) is given by

`y-b=m(x-a).`

From the graph, we note that the points (4, 0) and (-4, -4) are two points on the straight line.

So, the slope of the line is

`m=(-4-0)/(-4-4)\\\\\\\Rightarrow m=(1)/(2).`

Also, the line passes through the point (-4, -4), so the equation of the line is

`y-(-4)=m(x-(-4))\\\\\Rightarrow y+4=(1)/(2)(x+4).`

Thus, the required point-slope form of the graphed line is

`y+4=(1)/(2)(x+4).`