What is the equation of this line?
A: y=2x-3
B: y=-1/2x-3
C: y=-2x-3
D: y=1/2x-3

Answer:
A: y = 2x - 3
Step-by-step explanation:
Slope (m) formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
I will be using (0,-3) and (4, 5) to find the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{5-(-3)}{4-0}\\\\m=\frac{5+3}{4-0} \\\\m=\frac{8}{2}\\\\m=4[/tex]
(0,-3)
[tex]y=mx+b[/tex]
[tex]y=2x+b[/tex]
[tex]-3=2(0)+b\\\\-3=0+b\\\\-3=b[/tex]
[tex]y=2x-3[/tex]
Hope this helps!