Write the equation of the line that passes through (3, 4) and (2, -1) in slope-intercept form.

Solution:

In order to find the equation of the line we can use the slope intercept form.

The slope-intercept form of a straight line is used to find the equation of a line.

For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis.

y = mx + b

Where m is the slope and b is the y-intercept

We know that,

m = (y₂ - y₁)/ (x₂ - x₁)

Substituting the values we get,

m = (-1 - 4)/(2 - 3)

m = -5/-1

m = 5

To find b, we can solve using the point (2, -1)

y = mx + c

-1 = 5(2) + b

b = -1 - 10

b = -11

So we get,

y =  5x - 11

Therefore, the equation of the line is y = 5x - 11.

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Write the equation of the line that passes through (3, 4) and (2, -1) in slope-intercept form.

Summary:

The equation of the line that passes through (3, 4) and (2, -1) in slope-intercept form is y = 5x - 11.