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Answer:

The answer is B.

Step-by-step explanation:

The y-intercept is clearly a positive one. When we look at the next number it's 4 which means 3 had to be added. That would make it a positive number over another positive number. From 0 to 1 it's only one number so positive 3/1 is 3.

So the answer is y= 3x+1 B

The equation of the required line as per slope-intercept form is

y = 3x + 1.

What is the equation of a line passing through two points?

The equation of a line that passes through points (x₁, y₁) and (x₂, y₂) is defined as:

m = (y₂ - y₁)/(x₂ - x₁)

Here, 'm' is the slope and 'c' is the y-intercept of the given line.

Therefore, the slope of a line that passes through (- 2, - 5) and (- 1, - 2) is

= [(- 2) - (- 5)]/[(- 1) - (- 2)]

= 3/1

= 3

Now, the general form of a line is y = mx + c. Here, 'm' is the slope and 'c' is the y-intercept of the line.

The line passes through the point (0, 1).

Therefore, 1 = 3 × 0 + c

⇒ c = 1

Now, the equation of the straight line is

y = 3x + 1

Learn more about equation of a line here: https://brainly.com/question/25283605

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