A line with a slope of 5/7 passes through the point (7, 8) what is it’s equation in slope intercept form?

y = (5/7)x + 3

Step-by-step explanation:

We use the form y = mx + b.  Substituting (5/7) for m, 7 for x and 8 for y, we get:

8 = (5/7)(7) + b, or 8 = 5 + b.  Thus, b = 3, and the desired equation is

y = (5/7)x + 3

51-50

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)