SOLUTION: What is the equation of the line passing through (1, 7) and parallel to the line y = �x + 5 in standard form?

Question 630180: What is the equation of the line passing through (1, 7) and parallel to the line y = �x + 5 in standard form?
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Given
Point (x, y)=(1,7)
Line:
y=-x+5
Compare above equation with the equation of line slope-intercept form
y=mx+b
y=(-1)x+5
m=-1 and b=5
Slope of the given line m = -1 and y-intercept = b = 5
Since given line is parallel to the required line; slopes of the both line will be same.
================================================================
Now we have a point (1,7) and slope (-1) of the required line we can easily find the required line put these values in the equation of slope-intercept form to find the y-intercept of the required line
y=mx+b
7=(-1)(1)+b
7=-1+b
7+1=b
8=b
b=8
y-intercept of the required line =b=8
================================================================
Put the values of �m� and �b� in equation of the line slope-intercept form
y=mx+b
y=-1x+8
y=-x+8
x+y=8
Above equation is the required equation of the line in Standard form.

Graph
======
y=-x+5 (Red line)
y=-x+8 (Green line)

RELATED QUESTIONS
What is the equation of the line passing through (1, 7) and parallel to the line y - -x + (answered by reviewermath)

What is the equation of the line passing through (2, �3) and parallel to the line y = �6x (answered by lwsshak3)

use the given conditions to write an equation for the line in point-slope form,... (answered by Cromlix)

What is the equation of the line described below written in slope-intercept form? the... (answered by lwsshak3)

Find an equation of the line satisfying the conditions given. Express your answers in... (answered by Alan3354)

find an equation of the line satisfying the conditions given. Express your answer in... (answered by mananth)

What is the standard form of the equation of the line passing through the point (-4,-1)... (answered by sachi)

What is the equation of the line described below written in slope-intercept form? the... (answered by TimothyLamb)