Question

I need help plzzzzz on thisisisjdsj math problem

Answer 1

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Here's the solution ~

Let's consider two points (-2 , 0) and (0 , 2) on the line to find the slope (m) :

$\qquad \sf \dashrightarrow \: m = \dfrac{y_2 - y_1}{x_2 - x _1}$

$\qquad \sf \dashrightarrow \: m = \dfrac{2 - 0}{0 - ( - 2)}$

$\qquad \sf \dashrightarrow \: m = \dfrac{2}{2}$

$\qquad \sf \dashrightarrow \: m = 1$

And, now let's observe the graph ; the distance of origin (sign included) from the point where the line cuts y - axis will be the y - intercept (c) .

That is : 2 - 0 = 2 units

Next step :

As we know any line can be expressed through slope intercept form ;

$\qquad \sf \dashrightarrow \: y = mx + c$

Here, m = slope and c = y - intercept [ already got the values ]

Now, use the values to find the equation ;

$\qquad \sf \dashrightarrow \: y = (1 \times x) + 2$

$\qquad \sf \dashrightarrow \: y = x + 2$

Therefore the required equation is ~

$\large \qquad \qquad \sf \boxed{\boxed{ \sf y = x + 2}}$