of the line through the given point w ith the g 12) through: (-3,-5) slope=2 A) y=2x+1 B) y=x+2 C) y=4x+2 D) y=-x+?

To find the equation of the line through the given point $(-3,-5)$ with the given slope $m=2$, we can use the point-slope form of a linear equation:<br /><br />$y - y_1 = m(x - x_1)$<br /><br />where $(x_1, y_1)$ is the given point and $m$ is the given slope.<br /><br />Substituting the given values, we have:<br /><br />$y - (-5) = 2(x - (-3))$<br /><br />Simplifying, we get:<br /><br />$y + 5 = 2(x + 3)$<br /><br />Expanding and rearranging, we have:<br /><br />$y = 2x + 6 - 5$<br /><br />$y = 2x + 1$<br /><br />Therefore, the correct answer is A) $y=2x+1$.