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Find the [tex]$x$[/tex]- and [tex]$y$[/tex]-intercepts.

1. [tex]$4x - 7y = 28$[/tex]

a. Find the coordinate of the [tex]$x$[/tex]-intercept.

Sagot :

GinnyAnswer
To find the [tex]$x$[/tex]-intercept of the given equation \(4x - 7y = 28\), we follow the steps below:

1. Understanding the [tex]$x$[/tex]-intercept:
The [tex]$x$[/tex]-intercept is the point where the graph of the equation crosses the [tex]$x$[/tex]-axis. At this point, the value of [tex]$y$[/tex] is zero. Thus, we set [tex]$y = 0$[/tex] in the equation to find the corresponding value of [tex]$x$[/tex].

2. Set [tex]$y$[/tex] to zero in the equation:
[tex]\[ 4x - 7(0) = 28 \][/tex]
Simplifying this, we get:
[tex]\[ 4x = 28 \][/tex]

3. Solve for [tex]$x$[/tex]:
[tex]\[ x = \frac{28}{4} \][/tex]
[tex]\[ x = 7 \][/tex]

So the coordinate of the [tex]$x$[/tex]-intercept is [tex]\((7, 0)\)[/tex].
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