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In slope-intercept form, what is the equation of the line passing through the points (3,17) and (7,25)

2 Answers

4 votes

Answer:


y=2x+11

Explanation:

The slope is found using the formula:


m=(y_2-y_1)/(x_2-x_1)

Plug in the values to get;


m=(25-17)/(7-3)=2


m=2

The slope-intercept form is given by;


y=mx+c

Plug in the slope


y=2x+c

Use (3,17) to find the value of c.


17=2(3)+c


17=6+c

c=17-6=11

The slope-intercept form is;


y=2x+11

User VpiTriumph
by
8.6k points
1 vote

Answer:
y=2x+11

Explanation:

The slope-intercept form of a line is:


y=mx+b

Where m is the slope and b is the intersection of the line with the y-axis.

Find the slope with:


m=(y_2-y_1)/(x_2-x_1)\\\\m=(17-25)/(3-7)\\\\m=(-8)/(-4)\\\\m=2

Substitute the slope and one of the given points into
y=mx+b and solve for "b":


17=2(3)+b\\\\17=6+b\\b=11

Then you get:


y=2x+11

User Abdul Aleem
by
8.9k points

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