Discover a world of knowledge and get your questions answered at IDNLearn.com. Our experts are ready to provide in-depth answers and practical solutions to any questions you may have.
Sagot :
Answer
The equation of the line is
y - 5 = -0.8 (x + 2)
We can then simplify further
y - 5 = -0.8x - 1.6
y = -0.8x - 1.6 + 5
y = -0.8x + 3.4
Explanation
The general form of the equation in point-slope form is
y - y₁ = m (x - x₁)
where
y = y-coordinate of a point on the line.
y₁ = This refers to the y-coordinate of a given point on the line
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
x₁ = x-coordinate of the given point on the line
So, for this, we just need to solve for the slope and use one of the two points given to find the equation of the line.
For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]For this question,
(x₁, y₁) and (x₂, y₂) are (-2, 5) and (3, 1)
x₁ = -2
y₁ = 5
x₂ = 3
y₂ = 1
[tex]\text{Slope = }\frac{1-5}{3-(-2)}=\frac{-4}{3+2}=\frac{-4}{5}=-0.8[/tex]Recall
y - y₁ = m (x - x₁)
m = slope = -0.8x
(x₁, y₁) = point = (-2, 5)
x₁ = -2
y₁ = 5
y - y₁ = m (x - x₁)
y - 5 = -0.8 (x - (-2))
y - 5 = -0.8 (x + 2)
We can then simplify further
y - 5 = -0.8x - 1.6
y = -0.8x - 1.6 + 5
y = -0.8x + 3.4
Hope this Helps!!!
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.
