Question

graph of linear equation x + 2y =2 cuts y axis at which point?​

Answer 1

Given,

A linear equation x+2y=2

To Find,

The point at which this line cuts the y-axis.

Solution,

To find the y-axis intercept of the line we need to convert this equation into the general form.

Y = mx+c, where m is the slope of the equation and c is the y-axis intercept

x+2y = 2

2y = -x+2

y = -x/2+1

So, m = -1/2 and c = 1

Hence, x+2y=2 cuts the y-axis at (0.1).

Answer 2

Recall the concept ofgraphing linear equation.

Given: $x+2y=2$

To plot graphs, we need coordinates.

Usually it is done by arbitarily putting value for any of the variables and finding the corresponding value of the other variable.

We can find the point at which line cuts the Y-axis in two ways

1. Slope intercept form

Rewrite the equation in the general form of the line $y=mx+c$ where $c=$Y-intercept

$\implies x+2y=2$

$\implies 2y=-x+2$

$\implies y=-\frac{1}{2} x+1$

Here the value of $c=1$

So the line cuts Y-axis at $(0,1)$

(2)Substituting $x=0$

Any line cuts the X-axis if the value of $y=0$ and vice-versa

Here we need to find the point where the line cuts the Y-axis

So, substitute $x=0$

$\implies (0)+2y=2$

$\implies 2y=2$

$\implies y=\frac{2}{2}$

$\implies y=1$

So the point is $(0,1)$