Question

The measure of the acute angle between the line passing through (0,2) , (-2,0) and the line whose equation is Y=0 equals ....

Answer 1

I think they're asking you for the slope of the line as the tangent of the angle between a line and the x-axis is the slope. Use the formula y2-y1/x2-x1=tan& where (x1,y1) and (x2,y2) are the respective points

Answer 2

The slope of the line as the tangent of the angle between a line and the x-axis is the slope. Use the formula y2-y1/x2-x1=tan& where (x1,y1) and (x2,y2) are the respective points 

So they are asking 

slope equal tan theta 

Thus, 


So the slope =1. tan£=1 so theta=45° 

So no need for another slope.