Given the points (4,2) and (-6,-2): a) Write an equation in point-slope form of the line through the points. b) Convert the equation to slope-intercept form. c) Convert the equation to standard form. d) Graph ther equation.

Samson Kaufman

Samson Kaufman

Answered question

2022-08-05

Given the points (4,2) and (-6,-2):
a) Write an equation in point-slope form of the line through the points.
b) Convert the equation to slope-intercept form.
c) Convert the equation to standard form.
d) Graph ther equation.

Answer & Explanation

Emely English

Emely English

Beginner2022-08-06Added 16 answers

Step 1
x 1 , y 1 = ( 4 , 2 )
x 2 , y 2 = ( 6 , 2 )
Slope ( m ) = y 2 y 1 x 2 x 1 = 2 2 6 4
= 4 10 = 2 5
Now eq - point slope form
y y 1 = m ( x x 1 )
y 2 = 2 5 ( x 4 ) - answer
Step 2
Slope intercept form
y = 2 5 x 8 5 + 2
y = 2 5 x + 2 5
Standard form:
y 2 = 2 5 ( x 4 )
5 y 10 = 2 x 0
2 x 5 y + 2 = 0

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