Answer:
[tex]y=\frac{7}{3}x+7[/tex]
Step-by-step explanation:
[tex]y=mx+b\\\\y=\frac{7}{3}x+b\\ \\7=\frac{7}{3}(0)+b\\ \\7=b\\\\y=\frac{7}{3}x+7[/tex]
For these kinds of problems, the point-slope formula comes in handy.
The point-slope form (y - y1 = m(x - x1) +b) uses the slope and a point given to find the y-intercept, or in this case, the equation of the line.
First, we plug the known #'s into the equation, then solve.
y - 7 = -7/3( x -0)
y - 7 = -7/3x
+7 +7
y = -7/3x +7
Therefore, the equation of the line is: y = -7/3x + 7
Hope this helps!
