51,933 views
12 votes
12 votes
Write an equation in slope intercept form for a

line that passes through (8,-3) and has a slope
of
2/3

User Dmitrii Cooler
by
3.0k points

1 Answer

23 votes
23 votes

9514 1404 393

Answer:

y = 2/3x -25/3

Explanation:

The slope-intercept form of the equation for a line is ...

y = mx +b . . . . . . for slope m and y-intercept b

Solving for b gives ...

b = y -mx

Using the given values for x, y, and m, we find the intercept to be ...

b = -3 -2/3(8) = (-9 -16)/3 = -25/3

Then the equation of the line is ...

y = 2/3x -25/3

User Augustus
by
3.3k points