The linear equation that represents the line that passes through the points (4,5) and (0,-3) is given by:
B. y = 2x - 3
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The line passes through (0,-3), that is, when x = 0, y = -3, hence the y-intercept is of b = -3.
The slope is given by the <u>change in y divided by the change in x</u>, hence:
m = (5 - (-3))/(4 - 0) = 2
Hence the equation is:
y = 2x - 3.
Which means that option B is correct.
More can be learned about linear equations at brainly.com/question/24808124
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Answer:
x = - 15
Step-by-step explanation:
Given
+ 3 = x - 2
Multiply through by 3 to clear the fraction
4x + 9 = 3x - 6 ( subtract 3x from both sides )
x + 9 = - 6 ( subtract 9 from both sides )
x = - 15
Answer:
14.1096 lb (pounds)
Step-by-step explanation:
Answer:
=3/4
⭐=1/2
Step-by-step explanation:
2=5/4 + 1/4
2=6/4
=6/4 ÷ 2
=3/4
so...+⭐=5/4
3/4+⭐=5/4
⭐=5/4-3/4
⭐=2/4
⭐=1/2
A_{5} = a_{1} + 4d = -5 + 4 x 6 = 19
