Question

Write the equation of the line that has slope 1/2 and passes through (6,-2)

Answer 1

`y=(1)/(2) x-5.`

Explanation:

1) the form of the required line in slope-interception form is:

y=s*x+i, where s [slope] and i [intercept] are numbers;

2) according to the condition s=1/2, it means the required equation can be written as:

y=1/2x+i;

3) in order to calculate the value of 'i', it is needed to substitute (6;-2) into the written required equation:

-2=1/2 *6+i; ⇒ i=-5;

4) finally, if s=1/2 and i=-5, then the required equation is:

y=1/2 *x-5.

P.S. the suggested way is not the shortest one.

Answer 2

y=1/2(x-6)-2

Explanation:

y=m(x-h)+k

y=1/2(x-6)-2