Answer:
Step-by-step explanation:
1) the equation of the given line in the slope-interception form is:
y= 3/5 x -2;
the equation of the required line is
y=slope*x+i;
2) if the required line is parallel to the given one, it means, the value of its slope is the same, it means 3/5;
then the equation of the required line is
y=3/5*x+i;
3) if the point (-4;-1) belongs to the required line, then it is possible to substitute its coordinates into the equiation of the required line
-1= 3/5*(-4)+i;
4) it is possible to calculate the value of 'i':
i=7/5;
5) if slope=3/5, i=7/5, then the required equation of the line in slope-interception form is: