Write the equation in standard form. identify the important features of the graph: x^2+y^2-9x+10y+15=0

Standard form:

This equation represents the circle with the center at the point and the radius

Step-by-step explanation:

Consider expression

First, form perfect squares:

This equation represents the circle with the center at the point and the radius

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)