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.
Let's set up a proportion.
5/10=?/50
We know that ten times 5 equals 50, so we can multiply the numerator, 5, by 5 to get our answer (what you do to the denominator, you must also do to the numerator).
5x5=25
The answer is 25,
Answer:
<h3>C: y+2=-1/8(x-3)^2</h3>
Edge 2021
Answer:
0.07
Step-by-step explanation:
0.07 - quotient
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4/0.28 - divided
l
divisor
Answer:
about 89.27 inches
Step-by-step explanation:
This is a right triangle question
c^2 = a^2 + b^2
c^2 = 15^2 + 88^2
c^2 = 225 + 7744
c^2 = 7969
Take the square root of both sides
c = 89.2692556259
c ≈ 89.27 inches