4) The equation of line v is y=x+(1)/(7) Parallel to line V is line w, which passes through the point (-1,-2) What is the equation of line w?

To find the equation of line w, we need to use the fact that parallel lines have the same slope. The slope of line v is 1, so the slope of line w will also be 1.<br /><br />We can use the point-slope form of a linear equation to find the equation of line w. The point-slope form is given by:<br /><br />$y - y_1 = m(x - x_1)$<br /><br />where $(x_1, y_1)$ is a point on the line and $m$ is the slope.<br /><br />Substituting the given point $(-1, -2)$ and the slope $m = 1$ into the point-slope form, we have:<br /><br />$y - (-2) = 1(x - (-1))$<br /><br />Simplifying this equation, we get:<br /><br />$y + 2 = x + 1$<br /><br />Rearranging the terms, we have:<br /><br />$y = x - 1$<br /><br />Therefore, the equation of line w is $y = x - 1$.