Answer:
[tex]y=\frac{5}{4}x+\frac{11}{2}[/tex]
Step-by-step explanation:
y = (5/4)x + (5/4)
Slope = 5/4
Parllel lines have same slope
Slope of the line parallel to this line = 5/4
(-2 , 3)
y -y1 = m(x -x1)
y - 3 = (5/4)(x - [-2])
[tex]y -3 =\frac{5}{4}(x +2)\\\\y - 3 =\frac{5}{4}x + 2*\frac{5}{4}\\\\y -3 =\frac{5}{4}x + \frac{5}{2}\\\\y =\frac{5}{4}x + \frac{5}{2}+3\\y =\frac{5}{4}x+\frac{5}{2}+\frac{3*2}{1*2}\\\\y=\frac{5}{4}x+\frac{5}{2}+\frac{6}{2}\\\\y=\frac{5}{4}x+\frac{11}{2}[/tex]
