To determine the equation of a line when you are given the slope and the y-intercept, you can use the slope-intercept form of a linear equation, which is:
[tex]\[ y = mx + b \][/tex]
Here, [tex]\( m \)[/tex] represents the slope and [tex]\( b \)[/tex] represents the y-intercept of the line.
In this problem:
- The slope ([tex]\( m \)[/tex]) is given as -3.
- The y-intercept ([tex]\( b \)[/tex]) is given as 4.
By substituting these values into the slope-intercept form, we get:
[tex]\[ y = -3x + 4 \][/tex]
Therefore, the equation of the line with a slope of -3 and a y-intercept of 4 is:
[tex]\[ y = -3x + 4 \][/tex]
