Respuesta :

Answer:

y = 2x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 6 + c ⇒ c = 4 + 6 = 10

y = 2x + 10 ← equation of line

When you know a point (a,b) and the slope m of a line, you can write its equation as

[tex]y-b=m(x-a)[/tex]

Plugging your values yields

[tex]y-4=2(x-(-3)) \iff y=2x+10[/tex]