SOLUTION: Can you please help me with this problem? I have to write the equation of a line in slope-intercept form that has an x-intercept of 1/2 and a y-intercept 2/3

Algebra ->  Equations -> SOLUTION: Can you please help me with this problem? I have to write the equation of a line in slope-intercept form that has an x-intercept of 1/2 and a y-intercept 2/3      Log On


   



Question 524755: Can you please help me with this problem? I have to write the equation of a line in slope-intercept form that has an x-intercept of 1/2 and a y-intercept 2/3
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
The y-intercept is 2/3, which is also the point (0,b)
So, b = 2/3
.
The x-intercept is when y = 0, so the point is (1/2,0).
.
0 = mx + b
0 = m(1/2) + 2/3
-(1/2)m = 2/3
m = (2/3)/(-(1/2))
m = (2/3)*-(2/1)
m = -4/3
.
check
-4/3*1/2 = -4/6 = -2/3
correct
.
so, the slope is
m = -4/3
.
which means the equation is
y = -4/3 + 2/3
.
+graph%28500%2C500%2C-2%2C2%2C-2%2C2%2C-4%2F3%2Ax%2B2%2F3%29+