A line passes through the point and has a slope of .

Question

Write an equation in slope-intercept form for this line.

Answer 1

a line passes through the point (x1,y1) and has slope =m

(y- y1)= m(x-x1) in point slope form

general equation in point slope form is

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

y = m(x-x1) +y1

y = mx -mx1 +y1, m=slope and y1-mx1 = y intercept

for example, if the point is (0,4) and slope = 3

then

the line in slope intercept form is: y=3x +4

y=mx -mx1 +y1

y = 3x -3(0)+4

y =3x +4