SOLUTION: What is an equation for the line that passes through points (–1, –4) and (1, 4)? Write the equation in slope-intercept form. I have shown my work below. Am I missing any steps?
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Question 683476: What is an equation for the line that passes through points (–1, –4) and (1, 4)? Write the equation in slope-intercept form. I have shown my work below. Am I missing any steps?
y = mx + b
y = m(x) + 4
(4 - -1) / (1 - -4)
= 5 / 5
m = 1
y = 1x - 4
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Using point (-1,-4) and (1,4)
slope is
...
Using (-1,-4) and slope in point-slope
y--4 = 4(x--1)
y+4=4(x+1)
y+4=4x + 4
y = 4x + 4 - 4
...
confirm using the other point (1,4)
y-4=4(x-1)
y - 4 = 4x - 4
y = 4x - 4 + 4
y = 4x
...
Seen graphically, red line is y=1x-4, green line is 4x
...
Using y=1x-4, confirm that (-1, -4) is a solution
y = 1(-1) - 4 = -1 - 4 = -5
(-1, -5) not (-1, -4)
using (1,4)
y = 1(1) - 4 = 1 - 4 = -3
(1, -3) not (1, 4)
Thus, y=1x-4 is not the correct line that passes through neither (-1,-4) nor (1,4)
.....................
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