Mark points A (4; −3) and B (−2; 6) on the coordinate plane. Draw AB and find the coordinates of the intersection of the line with the x and y axes.

Intersection points with x and y axis are (2,0) and (0,3) respectively.

Step-by-step explanation:

Given the two points A(4, −3) and B(−2, 6).

Please refer to the attached image for the graph of line joining the point A and B.

As per graph, the line AB cuts the x and y axis on the points X and Y respectively whose points are X(2,0) and Y(0,3).

Now, let us find the points of intersection of line AB with x and y axis mathematically.

The equation of the line can be given as:

Where (x,y) are the points that lie on the line.

m is the slope and is defined as:

c is the y intercept

Let us calculate Slope of line:

Here,

So, the equation of line become:

Putting (x,y) as (4, −3)

Rewriting the equation of line:

To find intersection point with x axis, let us put y = 0

Intersection point with x axis is X(2,0)

To find intersection point with x axis, let us put x = 0

Intersection point with x axis is Y(0,3)

answer for #1 is c

answer for #2 is d

can i get brainliest