Final answer:
To find the equation for the line BC in trapezoid ABCD, we need to find its slope and y-intercept. The slope of BC is -1/7, and the coordinates of point B are (-5, 4). Using the slope-intercept form of a linear equation, we can substitute the values to find the equation for BC: y = (-1/7)x - 23/7.
Step-by-step explanation:
To find the equation for the line BC in trapezoid ABCD, we need to find its slope and y-intercept. Since the slope of AD is given as 7, we know that the slopes of AD and BC are negative reciprocals because the trapezoid is symmetric. Therefore, the slope of BC is -1/7.
We also have the coordinates of point B, which are (-5, 4). Using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept, we can substitute the values to find the equation for BC.
Substituting the values, the equation for BC is y = (-1/7)x - 23/7.