Answer:
[tex]y=2x+17[/tex]
Step-by-step explanation:
There is enough information to make a point-slope form of the equation and then convert it into slope intercept form.
Point Slope is: [tex]y-y_1=m(x-x_1)[/tex]
'm' - slope
(x1,y1) - point
We are given the point (-6,5) and a slope of 2.
[tex]y-y_1=m(x-x_1) \rightarrow \boxed{y-5=2(x+6)}[/tex]
Convert the equation into slope intercept form:
y-5=2(x+6)
[tex]y-5=2x+12\leftarrow \text{Distribute} \\y-5+5=2x+12+5\leftarrow \text{Addition Property of Equality} \\\boxed{y=2x+17}[/tex]
The equation should be y=2x+17.
