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 - 4

3x + y = -4 is y = -3x - 4

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 axis

Now, 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 - 4

Now, 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