Answer:
y-intercept of the equation [tex]2x+y=4[/tex] is [tex](0, 4)[/tex]
y-intercept of the equation [tex]-3x+9y=-6[/tex] is [tex](0,-\frac{2}{3})[/tex]
Step-by-step explanation:
Given:
The given equation are.
[tex]2x+y=4[/tex] ------------(1)
[tex]-3x+9y=-6[/tex] --------------(2)
We need to find the Y-intercept of given equations.
Solution:
Now we use the standard form of the line equation.
[tex]y = mx+c[/tex]
Where:
m = slope of the line
c = y-intercept of the line
First equation:
First we convert the equation 1 in standard form.
[tex]2x+y=4[/tex]
[tex]y=-2x+4[/tex]
So, y-intercept of the equation is (0, 4)
Second equation:
Convert second equation in standard form.
[tex]-3x+9y=-6[/tex]
[tex]9y=3x-6[/tex]
Divided by 9 both side of the equation.
[tex]y=\frac{3}{9}x-\frac{6}{9}[/tex]
[tex]y = \frac{1}{3}x-\frac{2}{3}[/tex]
So, y-intercept of the equation is [tex](0,-\frac{2}{3})[/tex]
Therefore, y-intercept of the equation [tex]2x+y=4[/tex] is [tex](0, 4)[/tex]
y-intercept of the equation [tex]-3x+9y=-6[/tex] is [tex](0,-\frac{2}{3})[/tex]
