Question

Write an equation the describes the line passing through point (0,7) with slope - 7/3

Answer 1

Answer:

$y=\frac{7}{3}x+7$

Step-by-step explanation:

$y=mx+b\\\\y=\frac{7}{3}x+b\\ \\7=\frac{7}{3}(0)+b\\ \\7=b\\\\y=\frac{7}{3}x+7$

Answer 2

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!