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Im really stupid. Im taking a final exam pleez help.

Graph the line that passes through the points. Then write an equation of the line in slope-intercept form.

(-5, 2), (2,4)

 Apr 25, 2015

Best Answer 

 #4
avatar+118608 
+10

Graph the line that passes through the points. Then write an equation of the line in slope-intercept form.

(-5, 2), (2,4)

 

 

There are diffrerent ways to do this question but here is one way.

The gradient and y intercept form of a line is      y=mx+b

m is the gradient and b is the y intercept.  

If you look at this line it looks like it crosses the y axis at about 3.5 but this is unlikely to be exact so we do not have b yet.

The gradient = $$\frac{rise}{run}=\frac{+2}{7}$$

so we have

$$\\y=mx+b\\
y=\frac{2}{7}x+b\\
$Now substitute in any point that you know lies on the line (2,4) will do.$\\
x=2,\;y=4\;
4=\frac{2}{7}*2+b\\
4=\frac{4}{7}+b\\
4-\frac{4}{7}=b\\
b=4-\frac{4}{7}
b=3\frac{3}{7}=\frac{24}{7}\\\\
y=\frac{2}{7}x+\frac{24}{7}\\$$

 Apr 25, 2015
 #1
avatar+2972 
0

i have no idea. when is the final exam due?

 Apr 25, 2015
 #2
avatar+50 
0

whenever. sooner is WAY BETTER because i have to finish Algebra 1.

 Apr 25, 2015
 #3
avatar+2972 
0

this is a tough one. hmmmm. ill email it to melody, cphill, brittany, jay cole, and zegroes. lets see what they say

 Apr 25, 2015
 #4
avatar+118608 
+10
Best Answer

Graph the line that passes through the points. Then write an equation of the line in slope-intercept form.

(-5, 2), (2,4)

 

 

There are diffrerent ways to do this question but here is one way.

The gradient and y intercept form of a line is      y=mx+b

m is the gradient and b is the y intercept.  

If you look at this line it looks like it crosses the y axis at about 3.5 but this is unlikely to be exact so we do not have b yet.

The gradient = $$\frac{rise}{run}=\frac{+2}{7}$$

so we have

$$\\y=mx+b\\
y=\frac{2}{7}x+b\\
$Now substitute in any point that you know lies on the line (2,4) will do.$\\
x=2,\;y=4\;
4=\frac{2}{7}*2+b\\
4=\frac{4}{7}+b\\
4-\frac{4}{7}=b\\
b=4-\frac{4}{7}
b=3\frac{3}{7}=\frac{24}{7}\\\\
y=\frac{2}{7}x+\frac{24}{7}\\$$

Melody Apr 25, 2015

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