Answer :
Answer:
y - 5 = (3/7)(x - 0)
Step-by-step explanation:
Determine the slope of the line -3x+7y =-35. Solve this equation for y, obtaining 7y = 3x - 35 and then y = (3/7)x - 5. The slope is (3/7).
The point-slope form is y - k = m(x - h), and here m = 3/7.
So we now have to find an equation in the form y - k = (3/7)(x - h). (h, k) is the point in question: (h, k), and k = the y-coordinate of some point can be found by using the given line -3x+7y =-35. Supposing that we choose x = 0, then 7y = 35, and y = 5, and so one point on the line -3x+7y =-35 is (0, 5).
Substitute 0 for h and 5 for k in y - k = (3/7)(x - h). We get
y - 5 = (3/7)(x - 0), or just
y - 5 = (3/7)(x - 0) (which is in point-slope form)