The equations are in slope intercept form which is
y = mx+b
m is the slope of the equation. slope is rise/ run meaning that if a slope is 2, you can also say 2/1. this means you go up 2 squares and to the right 1 point. if the slope is negative, it looks like a downhill and the line falls left to right. if the slope is positive, it looks like uphill and the line falls right to left.
the x is what the slope is multiplied by but isn’t significant in graphing because it’s always just x
the b represents the y intercept. the y axis is the vertical line on the graph. for example if b = 7, then the line goes through 7 on the graph and basically tells us that (0,7) is a point on the line.
for y= x + 7, the slope is 1. that equation is just saying y= 1x+7 but the one is unnecessary usually because it’s implied that the x means 1x
i attached a picture of the graphed lines
Answer: A. -3
Step-by-step explanation: The slope is the coefficent of x, this can be read as -3/1, down 3 over 1.
Rectangle definitely not a parallelogram
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r =
= 3
this is shown in graph b
Answer:
She normally gets $287 a week
Step-by-step explanation: