Answer:
[tex]y=\frac{4}{7} x-\frac{2}{7}[/tex]
Explanation:
The equation of a straight line is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
If two lines are parallel to each other, then they have the same slope, i.e. their slopes are equal.
The equation of a line passing through the point (-3, -2) and parallel to the line y = (4/7)x - 3, would have the same slope as the line y = (4/7)x - 3
The slope (m) of the line y = (4/7)x - 3 is 4/7, hence the line passes through the point (-3, -2) with a slope of 4/7.
The equation of the line is given by:
[tex]y-y_1=m(x-x_1)\\\\y-(-2)=\frac{4}{7}(x-(-3)) \\\\y + 2=\frac{4}{7} (x+3)\\\\y=\frac{4}{7}x+\frac{12}{7}-2\\\\y=\frac{4}{7} x-\frac{2}{7}[/tex]
