Respuesta :
Answer:
[tex]y=2x-5[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
We're given that the slope is 2. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=2x+b[/tex]
Now, to solve for the b, plug in the point (4,3):
[tex]3=2(4)+b\\3=8+b\\3-8=b\\-5=b[/tex]
Therefore, the y-intercept is -5. Plug this back into [tex]y=2x+b[/tex] as b:
[tex]y=2x+(-5)\\y=2x-5[/tex]
I hope this helps!
Given :-
(x,y) = (4,3)
m = 2
Solution :-
We know that
y = 2x + b
3 = 2(4) + b
3 = 8 + b
3 - 8 = b
-5 = b
Now
We need to find the equation
Equation = y = 2x + b
We have
x = x
y = ?
b = -5
y = 2(x) + (-5)
y = 2(x) - 5
y = 2x - 5
Option C is exactly correct.