Math Problem Statement

Passes through (4, …..) has a slope of -2 and has the equation:

Solution

It looks like you're working with the equation of a line that passes through a point and has a specific slope.

The general form for the equation of a line is the point-slope form, which is written as:

yy1=m(xx1)y - y_1 = m(x - x_1)

Where:

  • mm is the slope of the line.
  • (x1,y1)(x_1, y_1) is a point the line passes through.

You provided:

  • The slope m=2m = -2
  • The point through which the line passes is (4,y1)(4, y_1) (though you haven't specified y1y_1).

So, the equation of the line would look like:

yy1=2(x4)y - y_1 = -2(x - 4)

To complete this equation, we need the y1y_1-coordinate of the point. Could you provide that, or would you like me to proceed with a general expression?


Would you like me to solve for a specific value of y1y_1? Let me know!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Point-slope form: y - y1 = m(x - x1)

Theorems

Point-Slope Theorem

Suitable Grade Level

Grades 7-9