Answer: 1
Step-by-step explanation: To solve this problem, let's graph the line.
It's important to understand that the y-intercept is the point where the line crosses the y-axis.
So if our line has a y-intercept of 3, it crosses the y-axis up 3 units. So we start this problem by plotting the point (0,3) which I labeled point A.
From there, our slope of -3 can be thought of as -3/1 so we go down 3 units and to the right 1 unit and plot point B. Notice that point B happens to lie on the x-axis at (1,0) and remember that the x-intercept is the point where the line crosses the x-axis. Since our line crosses the x-axis at the point (1,0), it has an x-intercept of 1.
If you're given a y-intercept and a slope like you are in this problem, you won't always be able to determine the x-intercept but things work out nicely here because point B happens to lie on the x-axis.
The equation of the line would be y = -3x + 3
The x intercept is when y is equal to 0.
To solve for the x intercept, plug 0 in for y and then solve
0 = -3x + 3
0-3 = -3x +3 -3
-3 = -3x
-3/-3 = -3/-3x
1 = x
The x intercept is (1,0)
hour to feet per minute.
Answer:55 miles per hour= 4840 feet per minute
Step-by-step explanation:
X - 3X = 2(4+X)
Distributive Property:
X-3X = 8+2X
Subtraction Prperty:
-2X = 8+2X
Subtraction Property:
-4X = 8
Division Property:
x = 8/-4
X = -2
Hi,
Let's solve the equation step-by-step.
x−3x=2(4+x)
Step 1: Simplify both sides of the equation.
x−3x=2(4+x)
x+−3x=(2)(4)+(2)(x)(Distribute)
x+−3x=8+2x
(x+−3x)=2x+8(Combine Like Terms)
−2x=2x+8
−2x=2x+8
Step 2: Subtract 2x from both sides.
−2x−2x=2x+8−2x
−4x=8
Step 3: Divide both sides by -4.
−4x/−4 = 8/−4
x=−2
Answer:
x=−2
Have a great day!