Question

7) Give the equation of a line that goes through (-3,8) with a slope of 2.

Answer 1

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.