Question

Slope=4/5,passing through (2,7)

Answer 1

Point slope form:-

y - y1 = m(x - x1)
y - 7 = 4/5(x - 2)
y - 7 = 4/5x - 8/5
+ 7 +7

y = 4/5x - 8.6 <<<< This is in slope intercept form

Answer: y = 4/5x - 8.6

Answer 2

I assume you want to find a line with a slope of 4/5 passing through (2,7).
Slope intercept form is y=mx+b, where m is slope and b is y intercept. (in a line, x and y will be left as x and y).

You know the slope, so now you have y = (4/5)x + b.

Now you need to find the value of b.
They gave you a coordinate x and y, so substitute that in as x and y in the equation and solve for b.
(7) = (4/5)(2) + b
b = 5.4, or 27/5

Sow now put b back in to the equation, and you final answer is
y = (4/5)x + 27/5