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Which of the following is the equation of a line in slope-intercept form with a slope of 4 and a y-intercept at (0, 2)?

A. y = 4x + 2
B. y = 2x + 4
C. y = 4x - 2
D. y = -4x + 2

Sagot :

GinnyAnswer
The slope-intercept form of a line is given by the equation:

[tex]\[ y = mx + b \][/tex]

where:
- [tex]\( m \)[/tex] is the slope of the line
- [tex]\( b \)[/tex] is the y-intercept, which is the point where the line crosses the y-axis

In this problem, we are given:
- The slope ([tex]\( m \)[/tex]) is 4
- The y-intercept ([tex]\( b \)[/tex]) is 2

To form the equation of the line, we'll substitute these values into the slope-intercept form equation.

Starting with the general form of the equation:
[tex]\[ y = mx + b \][/tex]

Substitute [tex]\( m = 4 \)[/tex] and [tex]\( b = 2 \)[/tex]:
[tex]\[ y = 4x + 2 \][/tex]

Therefore, the equation of the line with a slope of 4 and a y-intercept at (0, 2) is:

[tex]\[ y = 4x + 2 \][/tex]
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