It can be observed in the graph its x-intercept and y-intercept which are (-2, 0) and (0, 5), respectively. We can use these to identify the equation of the line.
We'll be using the equation y = mx + b or the equation of the line in slope-intecept form where the m is the slope and b is the y-intercept. Since we know the value of our y-intercept already, simply substitute b with 5.
y = mx + b
y = mx + 5
Now to find the value of m, we just need to substitute the ordered pair (-2, 0) or its x-intercept to the equation.
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Verified answer
Answer:
A
Step-by-step explanation:
It can be observed in the graph its x-intercept and y-intercept which are (-2, 0) and (0, 5), respectively. We can use these to identify the equation of the line.
We'll be using the equation y = mx + b or the equation of the line in slope-intecept form where the m is the slope and b is the y-intercept. Since we know the value of our y-intercept already, simply substitute b with 5.
y = mx + b
y = mx + 5
Now to find the value of m, we just need to substitute the ordered pair (-2, 0) or its x-intercept to the equation.
y = mx + 5
0 = m(-2) + 5
0 = -2m + 5
2m = 5
m = 5/2
Plug in the value of the m obtained to y = mx + 5
y = (5/2)x + 5
Therefore, the answer's B.
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