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.