Question

a line passes through the point (-2,5) and has a slope of slope value not fully visible. write an equation in point - slope form for this line.

Explanation:

Step1: Recall Point - Slope Formula

The point - slope form of a linear equation is given by \(y - y_1=m(x - x_1)\), where \((x_1,y_1)\) is a point on the line and \(m\) is the slope of the line.

Step2: Identify Values

We are given that the line passes through the point \((x_1,y_1)=(- 2,5)\). Let's assume the slope \(m =-\frac{1}{2}\) (since it seems the slope value was partially visible as " - " and likely \(-\frac{1}{2}\) from typical problems). Substitute \(x_1=-2\), \(y_1 = 5\) and \(m=-\frac{1}{2}\) into the point - slope formula.
We get \(y - 5=-\frac{1}{2}(x+2)\) (because \(x - x_1=x-(-2)=x + 2\)).

Answer:

If the slope \(m =-\frac{1}{2}\), the point - slope form of the line is \(y - 5=-\frac{1}{2}(x + 2)\)