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Answer:
<em>y</em>= -<em>x</em>+1
Step-by-step explanation:
Utilize the formula of to find the distance between two points, or in this case, the equation of the line that passes through two points.
<u><em>Applying the given points to identify the slope</em></u>
1. Plug the coordinates into the <em>y</em> and <em>x</em> values. =-
.
1.5. Simplify; divide both the numerator and the denominator by 3. -.
<u><em>Applying slope and a point to find the y-intercept of the equation of a line</em></u>
1. Utilize the formula of <em>y=mx</em>. Though this sounds strange, morph the sign of equality into subtraction.
1.5. Result: <em>y-mx</em>
2. Do this for both points.
First point: (-4,11)
<em>y-mx</em>
11 + (-4)
11 + -10 (11-10)
1
Plug the result and the slope into <em>y=mx+b</em> to find the slope of the line.
Result: <em>y</em>=-<em>x</em>+1.
<u><em>Check your answer to confirm that the value of y is true for both points</em></u>
1. Do the same thing you did with the first point, but use the second point this time.
2.
<em>y-mx</em>
-4 + (2)
-4 + 5
1
Plug the result and the slope into <em>y=mx+b</em> to find the slope of the line.
Result: <em>y</em>=-<em>x</em>+1. <em>Identical to point one's result.</em>
<em></em>
In conclusion, both of the results are the same. Therefore, the equation of the line must be <em>y=-</em><em>x+1.</em>