Given:
A.-3x - y = 3
B. y = x - 3
• A. -3x - y = 3
First rewrite the equation in terms of y
[tex]y=-3x-3[/tex]
Thus, we have:
y = -3x - 3
To find the x intercept, set y = 0 and solve for x:
0 = -3x - 3
Add 3x to both sides:
0+3x = -3x + 3x -3
3x = -3
Divide both sides by 3:
[tex]\begin{gathered} \frac{3x}{3}=\frac{-3}{3} \\ \\ x\text{ = -1} \end{gathered}[/tex]
Use the slope intercept form to find the y-intercept.
y = mx + b
Where b is the y-intercept
Thus, the y-intercept is -3
x-intercept = (-1, 0)
y-intercept = (0, -3)
• B. y = x - 3
,
•
x-intercept:
0 = x - 3
Add 3 to both sides:
0 + 3 = x - 3 + 3
3 = x
The x intercept is 3
y-intercept:
y = x - 3
y intercept = -3
x-intercept = (3, 0)
y-intercept = (0, -3)
The x-intercept is the point where the line crosses the x-axis while the y-intercept is the point the line crosses the y-axis.
ANSWER:
A. x-intercept = (-1, 0)
y-intercept = (0, -3)
B. x-intercept = (3, 0)
y-intercept = (0, -3)
