Question

I need the procedure and the answer

Answer 1

y = ½x + 5

Explanation:

slope of the line is : a= (8-5)/(6-0) = ½ it's the coefficient of x too.

y = ax + b → y = ½x + b

consider the point (0,5) → 5 = ½(0) + b → b = 5

so equation of the line is: y = ½x + 5

Answer 2

Explanation:

(6,8) ; (0,5)

At y-intercept x is o.

y=intercept = b = 5

Equation of line in slope intercept form: y = mx + b

y = mx + 5

In this, Plugin the values of the point (6 ,8)

8 = 6m + 5

8 - 5 = 6m

3 = 6m

Divide both sides by 6

3/6 = 6m/6

1/2 = m

Equation of the line:

`y = (1)/(2)x+5`