Question

Help me Pls it's a math hw I don't understand this assignment (Graph the following system and identify the intersection point)

Answer 1

The solution to the system of equations is x=−1 and y=−1, meaning the point of intersection of these lines is (-1, -1).

Given two equations:

y=2x+1

y=−3x−4

These are equations of lines in slope-intercept form (y=mx+b), where m represents the slope of the line, and b represents the y-intercept.

To find the point where these lines intersect (the solution to the system of equations), you can set the two equations equal to each other because at the point of intersection, the y values and the x values will be the same:

So, set 2x+1=−3x−4:

2x+3x=−4−1

5x=−5

x=−1

Now that you have x=−1, substitute this value into either of the original equations to find the corresponding y value.

Let's use y=2x+1:

y=2(−1)+1

y=−2+1

y=−1

Therefore, the solution to the system of equations is x=−1 and y=−1, meaning the point of intersection of these lines is (-1, -1).