Is the system of equations consistent, consistent and coincident, or inconsistent?

1 answer:

4 0

Here, Your equations are:
y = 3x + 4
y = 3x + 3

Compare both the sides,
3x + 4 = 3x + 3
3x - 3x = 4 - 3
0 ≠ 1
As zero can't be equal to 1, the equation has no solution

In short, Your Answer would be "Inconsistent"

Hope this helps!

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Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

Explanation:

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$