Answer:
D= -0.37
R= -0.34
Step-by-step explanation:
Start by seeing where the lines go. They cross (intersect) at (1, -1). We can use this to check later.
Now for slope: green is -4/2 = -2
pink is 4/2 = 2
Now we can create the equations
Let's make green = g(x) and pink = p(x)
if we use y = mx + b, then the green has a y-intercept (b) of +1
So g(x) = -2x + 1
pink has a y-intercept of -3, so p(x) = 2x - 3
Now let's plug n play: put our solutions x into each equation and confirm that it makes the y = -1
g(x) = -2x + 1 = -2(1) + 1 = -2+1 = -1
p(x) = 2x - 3 = 2(1) - 3 = 2-3 = -1
✔ YES THEY ARE CONFIRMED
(3x+1)+(2x+4)=90
3x+1+2x+4=90
5x+5=90
5x=85
x=17
Answer:
y=x
Step-by-step explanation:
We want a line parallel to y =x+42
The slope of y =x+42 is 1
Parallel lines have the same slope
We have the slope m=1 and a point (2,2)
We can use point slope form to write a line
y-y1 = m(x-x1)
y-2 = 1(x-2) point slope form
Changing to slope intercept form
y-2 = x-2
Add 2 to each side
y-2+2 = x-2+2
y=x
