Answer:
y = 5x + 3
Step-by-step explanation:
<em>Step 1</em>. Find the slope
Each time x increases by 1 unit, y increases by 5 units.
m = slope = 5/1 = 5
<em>Step 2.</em> Find the y-intercept.
y = mx + b
When x = 4, y = 23.
23 = 5×4 + b
23 = 20 +b
b = 3
y = 5x + 3
The graph is a straight line with slope m = 5 and a y-intercept at y = 3.
Answer:
Step-by-step explanation:
Let the number of cups of onions Katrina still needs to chop = x
She has already chopped the onions = cups ≈
cups
So total amount of chopped onions = cups
Since, onion soup recipe calls for the chopped onions = cups ≈
cups
Therefore, equation which shows the number of cups of onions to be chopped more will be,
We further solve this equation for the value of x,
x =
x =
= cups
≈ cups
Answer:
y = - x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x - y = 9 into this form by subtracting 3x from both sides
- y = - 3x + 9 ( divide all terms by - 1 )
y = 3x - 9 ← in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = - x + c ← is the partial equation
To find c substitute (6, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = - x + 8 ← equation of perpendicular line