Question

2. Write an equation of a line in slope-intercept form

that passes through a point (4,-6) and has a slope of -3.

Answer 1

y = -3x+6

Explanation:

The slope intercept form of a line is given by

y = mx+b where m is the slope and b is the y intercept

y = -3x +b

Substitute the point into the equation

-6 = -3*4+b

-6 =-12+b

Add 12 to each side

-6+12 =-12+12+b

6=b

y = -3x+6