SOLUTION: Find the equation, in slope intercept form, of the line that passes through the points (-7,-2) and (-4, 1).

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Question 72475This question is from textbook Intermediate Algebra
: Find the equation, in slope intercept form, of the line that passes through the points (-7,-2) and (-4, 1). This question is from textbook Intermediate Algebra

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation, in slope intercept form, of the line that passes through the points (-7,-2) and (-4, 1).
In order to find the equation of a line you need a point and a slope. You have two points and no slope. Therefore, we first need to find the slope between the given two points.
When given to points and looking for a slope, use the slope formula: highlight%28m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29, where m=slope and (x1,y1) and (x2,y2) are two given points.
(x1,y1)=(-7,-2) and (x2,y2)=(-4,1)
m=%281-%28-2%29%29%2F%28-4-%28-7%29%29
m=%281%2B2%29%2F%28-4%2B7%29
m=3%2F3
m=1
Now that we have a slope, m=1 and a point (x1,y1)=(-7,-2), we can use the point-slope formula highlight%28y-y%5B1%5D=m%28x-x%5B1%5D%29%29, where m=slope and (x1,y1) is a given point, to find the equation of the line.
y-%28-2%29=1%28x-%28-7%29%29
y%2B2=x%2B7
Slope intercept form is highlight%28y=mx%2Bb%29, where m=slope and (0,b) is y-intercept. So solve the equation for y and let x be first.
y%2B2-2=x%2B7-2
highlight%28y=x%2B5%29
Happy Calculating!!!!