Question

Pls answer with a graph

Answer 1

Slope-intercept form the line is,

`y=-x-2`

Solution-

The general slope intercept formula of a line is,

`y=mx+c`

Where,

m = slope of the line

c = y - intercept of the line

But, in this case, the coordinate of a point and y-intercept is given. As both the points i.e the given point and the y-intercept lie on the line, we can get the equation the line by two point formula, i.e

`(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)`

Taking (2, -4) and (0, -2) as two points,

`(y+4)/(-2+4)=(x-2)/(0-2)`

`(y+4)/(2)=-(x-2)/(2)`

`y+4=-(x-2)`

`y+4=-x+2`

`y=-x-2`

Comparing this equation with the slope-intercept equation, we get that m = slope = -2 and y = -2 (as given)

So this equation is the slope intercept form of the line.