Question

Through (-2,3) and (0,2 )

Answer 1

The slope of the line that passes through the points (x1, y1) is computed as follows:

`m=(y_2-y_1)/(x_2-x_1)`

Given that the line passes through (-2,3) and (0,2)​, then its slope is:

`m=(2-3)/(0-(-2))=-(1)/(2)`

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept

Replacing the point (0, 2) and m = -1/2 into the general equation, we get:

2 = -1/2(0) + b

2 = b

Then, the equation of the line is:

y = -1/2x + 2