SOLUTION: WRITE THE EQUATION OF THE LINE IN SLOPE-INTERCEPT FORM. PASSING THROUGH THE POINTS (-1,5),(-3,-2)

Question 163060: WRITE THE EQUATION OF THE LINE IN SLOPE-INTERCEPT FORM.
PASSING THROUGH THE POINTS (-1,5),(-3,-2)
Answer by joecbaseball(37) (Show Source): You can put this solution on YOUR website!
Remember that the slope-intercept form is when the line is represented in the form:
Y = mx + b, where m is the slope and b is the y-intercept.
Now let�s figure what those values are:
First of all, your slope (m) is the ratio of the difference in the y terms divided by the difference in the x terms, or, as some teachers say, �the rise over the run�.
You have your two points, (-1,5), (-3,-2)
The difference in your y terms is (5 � (-2)) = 7
The difference in your x terms is ((-1) � (-3)) = 2
So, your slope (m) is 7/2.
Now plug that term into the generic slope-intercept form of the equation:
y = (7/2)x + b.
We now have to solve for b, and we have two different point coordinates to choose from. I�ll use (-1, 5)
Putting (-1) in for x, and 5 in for y, we get:
5 = (7/2)(-1) + b, and solve for b. This gives us that b = 17/2.
So the equation of the line for any point on the line is:
y = (7/2)x + (17/2).
Good luck

RELATED QUESTIONS
Write an equation in slope-intercept form of the line passing through the given points.... (answered by mananth)

Write the slope-intercept form of an equation of the line passing through the points (1,... (answered by josgarithmetic)

Find the equation (in slope intercept form) of the line passing through the points with... (answered by oscargut)

a line passing through points A (1,-2) and B (4,-3) write the equation of a linear... (answered by macston)

Write the equation in slope-intercept form for the line passing through each pair of... (answered by jim_thompson5910,solver91311)

write the equation of the line in slope-intercept form passing through the points... (answered by checkley77)

Find the equation of the line passing through the points P(- 3, 2) and Q(5, - 2). Write... (answered by MathLover1)

Write the slope intercept form equation of the line passing through (2, -3) and (-2, -5) (answered by stanbon)

Find the equation of the line (in slope intercept form) passing through the points (-2,1) (answered by josgarithmetic,ikleyn)