Find equations of all lines having slope -3 that are tangent Select the correct choice below and fill in the answer box(es A. There is only one line tangent to the curve with a slo (Type an equation.) B. There are two lines tangent to the curve with a slop smaller y-intercept is (Type equations.)

To find the equations of all lines with a slope of -3 that are tangent to a curve, we first need to identify the curve you're working with. If it's a polynomial function, you can find the derivative to determine the slope at any point. If the derivative equals -3 at points \( x = a \) and \( x = b \), then you can use these x-values to find the corresponding y-values on the curve, giving you the points of tangency. The tangent line equations will then be in the form \( y - f(a) = -3(x - a) \) and \( y - f(b) = -3(x - b) \). As for the number of lines, it depends on the curve's nature; some curves might touch a line tangentially at multiple points! For instance, a parabola can have two tangent lines that are parallel, while a cubic function could potentially have even more. The smaller y-intercept will come from the tangent line at the lower x-value if two points of tangency exist.