Find the equation for the graph.
A) $y = \frac { 1 } { 2 } x - 1$
B) $y = - \frac { 1 } { 2 } x - 1$
C) $y = - \frac { 1 } { 2 } x + 1$
D) none of these

Question

Find the equation for the graph. 
A) $y = \frac { 1 } { 2 } x - 1$ 
B) $y = - \frac { 1 } { 2 } x - 1$ 
C) $y = - \frac { 1 } { 2 } x + 1$ 
D) none of these

Quizplus · Accepted Answer

The graph passes through the point (-2,0) and (2,-2). Finding the slope of the line passing through these two points using the slope formula, we get:

slope = (y2 - y1)/(x2 - x1)
slope = (-2 - 0)/(2 - (-2))
slope = -1/2

Using this slope and one of the given points, we can find the y-intercept (b) using the point-slope formula y - y1 = m(x - x1):

y - (-2) = (-1/2)(x - 2)
y + 2 = (-1/2)x + 1
y = (-1/2)x - 3

Simplifying this equation leads to the final answer of y = (-1/2)x - 1, which matches choice B.

Find the Equation for the Graph y=12x−1y = \frac { 1 } { 2 } x - 1y=21​x−1

Find the Equation for the Graph $y = \frac { 1 } { 2 } x - 1$