Write the equation in slope-intercept form of the line

Question

 

 that has a slope of -3 and contains the point (1, 1).?

please help

Answer 1

The slope m  and the point (x1, y1) then the  equation of the line(slope intercept form  y = m x + c

Substitute m = -3  and the point (1,1) in the equation of  a line(slope intercept form)

1  = -3(1) + c

1 = -3 + c

Add 3 to each side

1+3 = 3 - 3 + c

4 = 0 + c

c = 4 Slope m = -3 and y-intercept 4 then the equation of the line

Substitute c =4 and m = -3 in the line y = mx + c

There fore y = -3x + 4