Answer:
y=2x+14.
Explanation:
1. the equation of the required line in slope-interception form is:
y=s*x+i, where s - slope, i - interception;
2. according to the condition s=2, then the required equation is:
y=2x+i;
3. if the point (-3;8) belongs to the required line, it is possible to substitute their coordinates into the required equation and calculate the value of 'i':
8=2*(-3)+i; ⇒ i=14.
4. if s=2 and i=14, then the required equation of the line is:
y=2x+14.