How do you write a slope intercept equation with the slope of 1/2 and the points of (4,6)

Which value of c would make he following expression completely factored? 8x+cy

I'll give brainliest if you answer right : )

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.