Graph the equation

y≥-4/3x-7

See picture

Step-by-step explanation:

For this problem, we need to know how to graph the inequality. First, let's establish that we will have a solid line because the inequality is greater than or equal to. If the inequality was only greater than, then it would be a dotted line. For -4/3x-7, you would start at (0,-7) as the y-intercept. Then you would go down by 4 and go to the right by 3 units. Now, we have to do shading. Since we know that y is greater than or equal to, the shading will be on top of the line, where y is greater.

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)