Mathematics: What is the y-intercept of a line that passes through the points (1-7) and (5-25)?

10x2 – 4x + 3x + 6 is prime...

What is the y-intercept of a line that passes through

bigsmokedagangsta

24.03.2021

Given:

A line passes through the points (1,-7) and (5,-25).

To find:

The y-intercept of the line.

Solution:

The line passes through the points (1-7) and (5-25). So, the equation of the line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-(-7)=\dfrac{-25-(-7)}{5-1}(x-1)$

$y+7=\dfrac{-25+7}{4}(x-1)$

$y+7=\dfrac{-18}{4}(x-1)$

y+7=-4.5(x-1)

Subtracting 7 from both sides, we get

y=-4.5x+4.5-7

y=-4.5x-2.5

Putting x=0, we get

y=-4.5(0)-2.5

y=0-2.5

y=-2.5

Therefore, the y-intercept of the given line is -2.5 and the vertex form of (0,-2.5).

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