15. construct the slope-intercept form equation of the line passing through (-5,23) and (10,-5).

equation:

15y = -28 x + 205.

Step-by-step explanation:

Slope intercept  form of equation is y = mx + c where m is slope and c is the y intercept.

Now slope of line passing through points (-5, 23) and (10, -5):

Now equation of line:

y = mx + c

substituting the value of m in above expression,

Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,

So equation of line in slope intercept form:

Further solving,

15y = -28 x + 205.