The equation of the line with a slope of 2/3 and y-intercept of -3 is [tex]y = \dfrac{2}{3}x -3[/tex] and this can be determined by using the slope-intercept form.
Given :
- The slope of the line is 2/3.
- The y-intercept of the line is -3.
The slope-intercept form can be used to determine the equation of the line whose slope is 2/3 and y-intercept is -3. The slope-intercept form is given by the equation:
y = mx + c
where m is the slope of the line and c is the y-intercept of the line.
Now, substitute the value of the slope that is 2/3 and the value of the y-intercept which is -3 in the above equation.
[tex]y = \dfrac{2}{3}x -3[/tex]
So, the correct option that shows the equation of the line whose slope is 2/3 and y-intercept is -3 is A).
For more information, refer to the link given below:
https://brainly.com/question/18666670
