Write the equation of the graph.

Mathematics

1 answer:

Radda [10]4 years ago

7 0

Answer:

y = (-1/2)(x + 5)

Step-by-step explanation:

According to this graph, the line passes through the points (-5, 0) and (1, -3).

As we move from (-5, 0) to (1, -3), x increases by 6 and y decreases by 3. Thus, the slope, m, is m = rise / run = -3/6, or m = -1/2.

Let's apply the point-slope formula and involve the point (-5, 0):

y - 0 = (-1/2)(x + 5), or

y = (-1/2)(x + 5).

Of course this could be written in other forms:

Performing the indicated multiplication yields y = (-1/2)x - 5/2, which is the slope-intercept form.

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