Answered

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1. Where does the line [tex] y = 3x + 5 [/tex] cross the [tex] y [/tex]-axis?

A. at [tex] y = 3 [/tex]

B. at [tex] y = 45 [/tex]

C. at [tex] x = 3 [/tex]

D. at [tex] x = 5 [/tex]

Sagot :

GinnyAnswer
To determine where the line [tex]\( y = 3x + 5 \)[/tex] crosses the [tex]\( y \)[/tex]-axis, we need to find the point on the line where [tex]\( x = 0 \)[/tex]. This is because the [tex]\( y \)[/tex]-axis is where [tex]\( x \)[/tex] is equal to zero.

1. Start with the equation of the line:
[tex]\[ y = 3x + 5 \][/tex]

2. Substitute [tex]\( x = 0 \)[/tex] into the equation:
[tex]\[ y = 3(0) + 5 \][/tex]

3. Simplify the equation:
[tex]\[ y = 5 \][/tex]

Thus, the line [tex]\( y = 3x + 5 \)[/tex] crosses the [tex]\( y \)[/tex]-axis at [tex]\( y = 5 \)[/tex].

Therefore, the correct answer is:
```
at [tex]$y=5$[/tex]
```
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