Answered

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Give your answer in the form [tex]\( y = mx + c \)[/tex], where [tex]\( m \)[/tex] and [tex]\( c \)[/tex] are integers or fractions in their simplest forms.

Sagot :

GinnyAnswer
Certainly! Let's solve the problem step by step.

1. Identify the slope [tex]\( m \)[/tex] and the intercept [tex]\( c \)[/tex]:
- The slope [tex]\( m \)[/tex] is used to determine how steep the line is.
- The intercept [tex]\( c \)[/tex] is the point where the line crosses the y-axis.

2. Substitute the given values:
- Here, the slope [tex]\( m \)[/tex] is given as [tex]\( 1 \)[/tex].
- The y-intercept [tex]\( c \)[/tex] is given as [tex]\( 2 \)[/tex].

3. Formulate the equation [tex]\( y = mx + c \)[/tex]:
- Substitute the values of [tex]\( m \)[/tex] and [tex]\( c \)[/tex] into the equation.

So, plugging in the values, we get:

[tex]\[ y = 1x + 2 \][/tex]

Thus, the equation of the line in the form [tex]\( y = mx + c \)[/tex] is:

[tex]\[ y = 1x + 2 \][/tex]

Or more simply:

[tex]\[ y = x + 2 \][/tex]
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