Answer:
An equation in slope-intercept form for this line is [tex]y=\frac{5}{2}x-19[/tex]
Step-by-step explanation:
Slope intercept form : [tex]y-y_1=m(x-x_1)[/tex]
We are given that A line passes through the point (4, −9) and has a slope of 5/2.
So, [tex](x_1,y_1)=(4,-9)[/tex]
[tex]m = \frac{5}{2}[/tex]
Substitute the value in the equation :
So,[tex]y-(-9)=\frac{5}{2}(x-4)[/tex]
[tex]y+9=\frac{5}{2}x-10\\y=\frac{5}{2}x-10-9\\y=\frac{5}{2}x-19[/tex]
So, an equation in slope-intercept form for this line is [tex]y=\frac{5}{2}x-19[/tex]
