Answer:
c) 6x - 5y = 15
Step-by-step explanation:
Slope-intercept form of a linear equation:
(where m is the slope and b is the y-intercept)
Maria's line:
Therefore, the slope of Maria's line is
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope of Nate's line (m) is:
Therefore, the linear equation of Nate's line is:
Rearranging this to standard form:
Therefore, <u>option c</u> could be an equation for Nate's line.
We need to solve for x. Let's try problem b:
Let us first combine line terms. 3x and -x as well as 1 and -7 can be combined. Let's do that:
Since this is true, your answer would be:
All real numbers
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Let's solve for problem c:
Let's isolate x, so subtract 1 from both sides:
Since x can't have a coefficient, divide both sides by 3:
So, only the value of 14 would make this equation true.
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Let's try problem d:
Let's get our whole numbers on the right side. Add 1 to both sides:
Subtract 4x from the right side on both sides:
Since this is not true, your answer would be:
No solution