Respuesta :

Answer:

An equation is

[tex]y = \frac{1}{2} x + 13[/tex]

.

Step-by-step explanation:

☆Since since we're given the slope, all we need to do is find the y-intercept.

☆The slope-intercept formula is: y = mx + b.

☆We are going to plug in according to the formula.

[tex]y = mx + b \\ \\ 10 = \frac{1}{2} ( - 6) + b \\ 10 = - 3 + b \\ \frac{ + 3 = + 3 \: \: \: \: \: \: \: \: \: }{13 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]

☆We have everything we need, so now we put it together.