SOLUTION: Can someone please show me how to work this problem?: "What is the equation of a line that passes through the points (0, 1) and (6, -2) ?" Thank you.

Question 989522: Can someone please show me how to work this problem?:
"What is the equation of a line that passes through the points (0, 1) and (6, -2) ?"
Thank you.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
=(,)=(,)
.
=(,)=(,)
.
First, find the slope:
.

.
Using slope-intercept form:
.
y=mx+b Put in value for m, use to solve for b.
.
1=(-1/2)0+b
.
1=b
.
Now we know m and b, we can complete the equation:
.
y=(-1/2)x+1
.
And check using :
.
-2=(-1/2)6+1
.
-2=-3+1
.
-2=-2
.
ANSWER: The equation for the line through (0,1) and (6,-2) is y=(-1/2)x+1.

RELATED QUESTIONS
Find an equation of a line with m=-4 that passes through (-1,4). My problem is How to... (answered by ewatrrr)

Can someone please, please show me how to do this? Write the equation of the line which... (answered by jim_thompson5910,checkley75)

Write the slope-intercept equation for the line that passes through (-7, 6) and is... (answered by mananth,armstrkl)

A line passing through (4, 11) and (1, y) is parallel to a line with slope 2. What is... (answered by nerdybill)

What�s the equation of a line that passes through points (0, -1) and (2, 3)? Please... (answered by jim_thompson5910)

I need help with this problem can someone please help !! Write the equation of a line... (answered by josmiceli)

what is an equation of a line that passes through the points (-7,0) and... (answered by Alan3354,josmiceli)

find the equation of the line that passes through (3,-1) and is perpendicular to the line (answered by Alan3354)

Please help. Write the equation of a line, in standard form with the integer... (answered by checkley71)