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3 years ago

What is an equation of the line that passes through the points (3, 4) and (-4,-3)?

Mathematics

1 answer:

yan [13]3 years ago

4 0

<h2>Answer: y = x + 1 </h2>

Step-by-step explanation:

For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:

The question gives us two points, (3, 4) and (-4,-3), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

= (4 - (- 3)) ÷ (3 - (-4))

= 1

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

⇒ y - (-3) = 1 (x - (-4))

y + 3 = (x + 4)

we could also transform this into the slope-intercept form ( y = mx + c)

since y + 3 = (x + 4)

⇒ y = x + 1

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

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