Geneva is saving for a new dress. she already has $20 saved and
intends to save $7 each week. the equation for the amount of
money y she has saved is y = 7x + 20, where x is the number of
weeks. what do the slope and y-intercept represent?

The Slope(Slope = 7) represents the amount by which her savings increases per week.

The Y-intercept(Y intercept = 20) represents her initial savings before starting this process of saving 7$ per week.

Step-by-step explanation:

Given,

Initial Savings = 20$,

Additional savings per week = 7$,

Assuming 'x' no. of weeks passed by, her savings would be,

Total savings(y) = Initial Savings + Added Savings

y = 20$ + 7

y = (7x + 20)$

This is an equation of a straight line.

We know that,

For a line in the Slope Intercept form(y = mx + c)

The slope is m and the y-Intercept is c.

Therefore here,for the y = 7x +20 equation,

Slope = 7 = Change in Added Savings per week.

Y-Intercept = 20 = Initial Savings.

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)