Question

Write the equation of the line parallel to y = 1/3x- 6 that passes through the point (-12,3) in slope-intercept form

Answer 1

`y=(1)/(3) x+7.`

Explanation:

all the detail are in the attached picture, here is the short explanation step-by-step:

1) to select the values of slope and interception from the given equation;

2) using the rule of parallel lines to find the slope of the required line;

3) to write the required equation (the value of slope is known, the value of interception is inknown);

4) to calculate the unknown value of interception of the required equation after the substitution the coordinates of the point in the condition;

5) to make up the required equation using calculated slope and interception.