Question

A line passes through the point (10,-3) and has a slope of -1/2. Write an equation in slope intercept form for this line.

Answer 1

Equation of line in slope-intercept form is given as y = mx + c, where m is the slope and c is the y-intercept.

Since line has a slope of -1/2, equation of line is y = -1/2x + c.

Substitute (10,-3) into equation to find c.

-3 = -1/2(10) + c

-3 = -5 + c

c = 2

Hence, equation of line is y = -1/2x + 2.