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How do you write a equation in slope intercept form of the line passing through the given points (0,7) , (1,9)?

1 Answer

Jun 15, 2017

$y =2x+7$

Explanation:

Given
$color(white)("XXX")(x_1,y_1)=(0,7)$ and
$color(white)("XXX")(x_2,y_2)=(1,9)$

The (y) intercept is the value of $y$ when $x=0$
$color(white)("XXX")$ given the point $(x_1.,y_1)=(0,7)$
$color(white)("XXX")$ the (y)intercept is $b=7$

The slope of a line between two points is
$color(white)("XXX")m=(y_2-y_1)/(x_2-x_1)$
$color(white)("XXX")$ for the given points (above), the slope is
$color(white)("XXX")m=(9-7)/(1-0)=2$

The slope-intercept form for a line with slope $m$ and (y) intercept $b$ is
$color(white)("XXX")y=mx+b$
$color(white)("XXX")$ using the values we have just determined for $m$ and $b$
$color(white)("XXX")y=2x+7$

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