Final answer:
To find the equation of the line passing through (-5,6) and cutting off equal intercepts on the coordinate axes, we can find the slope and y-intercept of the line.
Step-by-step explanation:
To find the equation of a line passing through (-5,6) and cutting off equal intercepts on the coordinate axes, we need to determine the slope and y-intercept of the line.
Step 1: Find the slope using the formula: slope = (y2 - y1) / (x2 - x1). In this case, the coordinates (-5,6) are (x1,y1). Let's say the coordinates of the intercepts are (a,0) and (0,b). Since the intercepts are equal, a = b, so you can use any one of the intercepts to find the slope.
Step 2: Use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept. Substitute the known values into the equation and solve for the y-intercept.
Step 3: Write the equation of the line using the slope-intercept form.