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

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

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