find the solution in slope-intercept form y+7=-3(x-1) and 3x+y=-4

The solution in slope-intercept form for:y + 7 = -3(x - 1) is y = -3x - 43x + y = -4 is y = -3x - 4Solution:We have been given two equations  y + 7 = -3(x - 1) and 3x + y = -4 we have been asked to simplify these equations in slope intercept form. The slope intercept form can be written as follows: y = mx + b Where, m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axisNow, let us write the first equation in slope intercept form as follows:y + 7 = -3(x - 1) y + 7 = -3x + 3 y = -3x + 3 - 7 y = -3x - 4 The slope intercept form for the first equation is y = -3x - 4Now, let us write the second equation in slope intercept form. This can be done as follows: 3x + y = -4 y = -3x - 4 Therefore, the slope intercept form for the second line is y = -3x - 4