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How do you graph using the intercepts for −x−7y=14

Answer
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Hint: First we find the axis intercept values in the given equation. Also, when it is either x or y values are 0. Then we have to plot the intercepts for the given equation in the graph. Finally we get the required solution.

Complete step-by-step solution:
It is given that the question we have to find the x− intercept and y− intercept for the straight line: −x−7y=14
Before we start solving this question, let us see what the x− intercept and the y− intercept which is also known as horizontal intercept and vertical intercept by putting x=0, y = 0  for each one respectively.
Our equation is linear function; the two intercepts can be calculated as follows:
Substituting x=0 in the given equation ie., −x−7y=14
⇒−(0)−7y=14
On rewriting we get,
⇒−7y=14
On dividing −7 on both sides we get,
⇒y=14−7
Let us divide the term and we get,
⇒y=−2
Hence we get the x− intercept value.
∴x− Intercept is y=−2
Also, we need to find y− intercept.
Now we are substitute, y=0 in the given equation,
⇒−x−7y=14
On putting the value of zero in place of y.
 â‡’−x−7(0)=14
Multiplying 7 by 0 we get
⇒−x−0=14
By using the elementary operation, we get
⇒−x=14
Dividing the whole number 14 by (−1), we get
⇒x=−14
∴y−Intercept is x=−14.
Hence, we get ∴x− Intercept is y=−2
∴y− Intercept is x=−14.
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Note: x− intercept is a point at which the graph intersects x−axis. That means we always have y equal to zero Similarly we can say that for the y−intercept is a point at which the graph intersects y−axis. That means we always have x equal to zero in the coordinate system.
We have to know about the concept of x− intercept and y− intercept for a straight line, satisfying the condition of x=0 and y = 0 in the equation of the given line.
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