Math Problem Statement

Find the equation of the straight line passing through (5,1) with slope and draw it.

Solution

To find the equation of a straight line passing through a point (x1,y1)(x_1, y_1) with a given slope mm, we use the point-slope form of a line:

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

Here, the point (x1,y1)=(5,1)(x_1, y_1) = (5, 1) and the slope mm is not provided in the question. Assuming you want to use the general form of the equation for any slope, the equation becomes:

y1=m(x5)y - 1 = m(x - 5)

Simplifying:

y=m(x5)+1y = m(x - 5) + 1 This is the equation of the straight line with slope mm, passing through the point (5,1)(5,1).

If you would like to specify a value for the slope, I can give a more concrete equation and graph it for you. Let me know the slope you would like to use, or if you'd like to keep it general for now!

Would you like me to graph this equation assuming a specific slope?

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Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry
Linear Equations

Formulas

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

Theorems

Point-Slope Theorem

Suitable Grade Level

Grades 8-10