Question

Someone Please Help me step by step!
Solve the system by graphing (no need to submit your graph here) then write the solution as an ordered pair).
7. y = -1/2x - 1
y = 1/2x - 3
Solution: ( , )

Answer 1

find x-intercept and y-intercept of both the lines
sketch them their joining point is ur answer

Answer 2

The equations are in slope-intercept form:
\[y = mx + b\]
Here, m is the slope:
\[slope = \frac{rise}{run}\]
Now, to draw the lines, first find where they intercept each axis. This isn't so bad, since you just set y=0 to get the x-intercept:
\[0 = mx + b\]
Subtract b from both sides:
\[-b = mx\]
Then, solve for x:
\[-\frac{b}{m} = x\]
Then, set x=0 to get the y-intercept:
\[y = m \times 0 + b\]

Answer 3

After that, you should be able to draw both lines and find where they intersect.

Answer 4

The y-intercepts will be points of the form:
\[(x, 0)\]
While the x-intercepts will be of the form:
\[(0, y)\]

Answer 5

Where x and y are the values you got from setting the other variable to zero, as I explained above.

Answer 6

Thank you so much, You explained that very well! @LukeBlueFive

Answer 7

@JessNicole You're very welcome!