The equation of line s is y=-4x-(5)/(3) Line t includes the point (-3,3) and is parallel to line s. What is the of line t? )) Write the equation in tercept form. Write the numbers in the as simplified proper fractions,, improper fractions, or integers. square

To find the equation of line t, we need to use the point-slope form of a linear equation, which 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 of the line.<br /><br />Since line t is parallel to line s, it will have the same slope as line s. The slope of line s is -4, so the slope of line t is also -4.<br /><br />Now we can substitute the values into the point-slope form:<br /><br />$y - 3 = -4(x - (-3))$<br /><br />Simplifying this equation gives us:<br /><br />$y - 3 = -4(x + 3)$<br /><br />Expanding and rearranging the terms, we get:<br /><br />$y = -4x - 12 + 3$<br /><br />Simplifying further, we have:<br /><br />$y = -4x - 9$<br /><br />Therefore, the equation of line t in slope-intercept form is $y = -4x - 9$.