SOLUTION: Write an equation of the line in slope-intercept form. A line graphed on a coordinate plane. The x-axis ranges from negative 3 to 5, in increments of 1. The y-axis ranges from n

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line in slope-intercept form. A line graphed on a coordinate plane. The x-axis ranges from negative 3 to 5, in increments of 1. The y-axis ranges from n      Log On


   

Question 1209272: Write an equation of the line in slope-intercept form.
A line graphed on a coordinate plane. The x-axis ranges from negative 3 to 5, in increments of 1. The y-axis ranges from negative 1 to 7, in increments of 1. The line passes through the points at ordered pair 0 comma 5 and ordered pair 3 comma 4.
An equation is:


Found 3 solutions by josgarithmetic, MathTherapy, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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The line passes through the points at ordered pair 0 comma 5 and ordered pair 3 comma 4.
An equation is:
-

Through (0,5) and (3,4)

Notice the y-intercept of the line is 5.
y=mx%2B5

Using the other point lets you find m, the slope.
mx=y-5
m=%28y-5%29%2Fx
m=%284-5%29%2F3-------so slope must be -1%2F3.
cross%28m=-1%29

EQUATION: cross%28y=-x%2B5%29

Enough there you can make the graph.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation of the line in slope-intercept form.

A line graphed on a coordinate plane. The x-axis ranges from negative 3 to 5, in increments of 1. The y-axis ranges from negative 1 to 7, in increments of 1. The line passes through the points at ordered pair 0 comma 5 and ordered pair 3 comma 4.

An equation is:

He's WRONG. The slope is NOT - 1, as %284+-+5%29%2F3+%3C%3E+-+1.  

Ordered pair: (0, 5) and (3, 4), so m, or slope = %284+-+5%29%2F%283+-+0%29 = -+1%2F3.
Since the y-intercept was given as point (0, 5), we get the CORRECT equation as: highlight%28highlight_green%28highlight%28y+=+-+%281%2F3%29x+%2B+5%29%29%29. 

In order for the graph to show the line, the y-axis can range from - 1 to 7, but the x-axis NEEDS to range
from - 3 to 15, i/o from - 3 to 5, in order for the equation: y+=+%28-+1%2F3%29x+%2B+5 to be clearly viewed.
graph%28400%2C+400%2C-+3%2C+16%2C+-+1%2C+7%2C-%281%2F3%29x+%2B+5%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


One of the given points, (0,5), is the y-intercept, so the equation in slope-intercept form is of the form y=mx+5.

Use the coordinates of the other given point to determine the slope m to complete the equation.

You can plug numbers into the equation for calculating the slope. But I think it gives the student a better understanding if you simply use the "rise over run" definition of slope.

From (0,5) to (3,4), you move (3-0) = 3 units in the x direction ("run") and (4-5) = -1 in the y direction ("rise"), so the slope "rise over run" is -1/3.

And then the equation in slope-intercept form of the line through the two given points is

ANSWER: y = (-1/3)x+5