Question

The slope of the line below is -3. Is the coordinates of the labeled point to find a point - slope equation of the line

Answer 1

Point slope form = y - b= m ( x - a )

where y and x stay the same

m is the slope

and (a, b) (any coordinate on the graph)

based on the point (5, -7)

Y - (-7) = -3 (x - 5)

however, the - cancels out the negative 7 making I positive

Y + 7 = -3(x - 5)

Answer 2

The point - slope equation of the line is y + 7 = -3(x - 5).

What is Equation of line?

• Equation of line is algebraic expression which determines the locus of points.
• Equation of line is given by the slope of the line and the points on the line.

Given:

Slope (m) = -3

According to the graph, the point on line is (5, -7).

⇒ (x₁, y₁) = (5, -7)

The equation can be written in the point-slope form as:

⇒ y - y₁ = m(x - x₁)

⇒ y - (-7) = -3(x - 5)

⇒ y + 7 = -3(x - 5)

Therefore, the point - slope equation of the line is y + 7 = -3(x - 5).

Learn more about the Equation of Line here: https://brainly.com/question/14863519

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