destiny young

destiny young

Answered question

2022-10-04

Answer & Explanation

Nick Camelot

Nick Camelot

Skilled2023-05-25Added 164 answers

To find the equation of the line passing through the points (7,3) and (3,7), we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by:
yy1=m(xx1)
where (x1,y1) represents a point on the line, and m represents the slope of the line.
Let's calculate the slope (m) using the two given points (7,3) and (3,7):
m=y2y1x2x1
Substituting the coordinates of the points into the formula:
m=7337
m=44
m=1
Now that we have the slope, we can choose one of the given points and substitute its coordinates into the point-slope form.
Let's use the point (7,3):
y3=1(x7)
Simplifying:
y3=x+7
Next, let's rearrange the equation to the slope-intercept form, which is in the form y = mx + b (where b represents the y-intercept):
y=x+7+3
y=x+10
Therefore, the equation of the line passing through the points (7,3) and (3,7) in slope-intercept form is:
y=x+10

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