Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15
1 answer:
Step-by-step explanation:
Equation of a line is y = mx + b
where
m is the slope
b is the y intercept
<u>First question</u>
<h3>a.)</h3>y = 3x - 4
Comparing with the general equation above
Slope / m = 3
The y intercept / b = - 4
<u>Second question</u>
<h3>b).</h3>4x - 5y = 15
First we must write the equation in the general equation above by making y the subject
That's
5y = 4x - 15
Divide both sides by 5
That's
We have
Comparing with the general equation above
Slope = 4/5
Y intercept = - 3
Hope this helps you
You might be interested in
Answer:
a) Add 4 to both sides, and then divide by 2. The solution is .
Step-by-step explanation:
Question:
Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
a) Add 4 to both sides, and then divide by 2. The solution is x = 12.
b) Divide both sides by −4, and then subtract 2. The solution is x = −7.
c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.
d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.
Solution:
Given equation:
We need to determine the steps in order to solve for .
Solving for .
Step 1: Adding 4 both sides.
Step 2: Dividing both sides by 2.
∴
Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12