The equation of a line in slope-intercept form that passes through a point (-8,5) and has a slope of 3/2 is [tex]y = \dfrac{3}{2}x+13[/tex] and this can be determined by using the given data.
Given :
A line passes through the point (-8,5) and has a slope of 3/2.
The following steps can be used in order to determine the equation in slope-intercept form for this line:
Step 1 - The point-slope form can be used in order to determine the equation of the line that passes through the point (-8,5) and has a slope of 3/2.
Step 2 - The equation of a line is given below.
[tex](y-5)=\dfrac{3}{2}(x+8)[/tex]
Step 3 - Simplify the above expression.
[tex]y = \dfrac{3}{2}x+13[/tex]
Step 4 - The above equation is in slope-intercept form that is (y = mx + c).
For more information, refer to the link given below:
https://brainly.com/question/11897796
