Answer:
a. y = -1/2x - 2
Step-by-step explanation:
The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.
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<h3>slope</h3>
The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...
m = rise/run = -2/4 = -1/2
In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.
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<h3>equation</h3>
The slope-intercept equation is ...
y = mx +b . . . . . . . slope m, y-intercept b
We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...
y = -1/2x -2 . . . . . matches choice A
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<em>Additional comment</em>
When answering multiple-choice questions, you only need to do enough work to tell which answers are <em>not</em> viable.
When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.
Answer:
<h2>B. The slope is 5 and (2, 4) is on the line.</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:

<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point</em>
<em />
We have the equation:

Therefore
<em>m = 5</em>
<em>(x₁, y₁) = (2, 4)</em>
<em />
Answer:
2 7/8
Step-by-step explanation:
3/8 + 2 4/8= ?
3/8+ 4/8= 7/8
7/8+ 2 = 2 7/8
by calculating the given information and the equation in table
Answer:\ a.The wire is part of the electric circuit. The electric current will not flow if it breaks
Step-by-step explanation:
Hope this helps!