Question

Find the equation of the height segment in slope intercept form by finding the equation of the line passes through B and is perpendicular to AB.

a) y=mx+b
b) y=− m1/x+b
c) y=−mx+b
d) y= m/1 x+b

Answer 1

The equation of the height segment, given the slope of line AB as 3, would have a slope of −1/3 and the slope-intercept form of the equation is y = −1/3x + b, where b is calculated using B’s coordinates.

Step-by-step explanation:

To find the equation of the height segment (the line passing through point B and perpendicular to AB), we need to understand the slope-intercept form of a line's equation and how the slope (m) and y-intercept (b) affect it. According to the given information, the original line has a slope of 3, which means for every 1 unit increase in x, y increases by 3. Since we want a line perpendicular to AB, we need the negative reciprocal of the original slope, which would be −3. Therefore, the slope of the height segment will be −1/3. With this information, and assuming we know the coordinates of point B, the equation for the height segment would be y = −1/3x + b, where b is the y-intercept, and it would be calculated using the coordinates of point B.