Find the Equation of a Line through Points (-5, 6) and (2, -6)

Math Problem Statement

Find the equation of the line passing through the points

left parenthesis negative 5 comma 6 right parenthesis(−5,6)

and

left parenthesis 2 comma negative 6 right parenthesis(2,−6).

Question content area bottom

Part 1

a) Determine the slope of the line that passes through the indicated points. Select the correct choice and, if necessary, fill in the answer box within your choice.

The slope of the line is

mequals=enter your response here.

(Type an integer or a fraction. Simplify your answer.)

The slope is undefined.

Part 2

b) Write the equation of the line in point-slope form. Select the correct choice and, if necessary, fill in the answer box within your choice.

The equation of the line in the point-slope form is

enter your response here.

(Use integers or fractions for any numbers in the equation. Simplify your answer.)

The slope is undefined.

Part 3

c) Write the equation of the line in slope-intercept form. Select the correct choice and, if necessary, fill in the answer box within your choice.

The equation of the line in the slope-intercept form is

enter your response here.

(Use integers or fractions for any numbers in the equation. Simplify your answer.)

The slope is undefined.

Part 4

d) Write the equation of the line in standard form.

The equation of the line in standard form is

enter your response here.

(Type your answer in standard form, using integer coefficients with

Agreater than or equals≥0.

Simplify your answer.)

Find the equation of the line passing through the points left parenthesis negative 5 comma 6 right parenthesis and left parenthesis 2 comma negative 6 right parenthesis.Select the correct choice and, if necessary, fill in the answer box within your choice.input field 2Select the correct choice and, if necessary, fill in the answer box within your choice.input field 3Select the correct choice and, if necessary, fill in the answer box within your choice.The equation of the line in standard form is(Type your answer in standard form, using integer coefficients with A0. Simplify your answer.)

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Coordinate Geometry

Formulas

Slope formula: m = (y2 - y1) / (x2 - x1)
Point-slope form: y - y1 = m(x - x1)
Slope-intercept form: y = mx + b
Standard form: Ax + By = C

Theorems

Slope theorem
Equation of a line theorem

Suitable Grade Level

Grades 8-10

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