Write an equation of the line that passes through (2, 7) and (0, −5) y=

2 answers:

8 0

First, solve for slope.
Formula for slope: $\frac{y2-y1}{x2-x1}$
Plug in values: $\frac{-5-7}{0-2} = \frac{-12}{-2} = 6$
Slope: $6$
Second, we must plug into point-slope form.
Formula for point-slope: $y - y1 = m(x-x1)$
Plug in the values: $y - 7 = 6(x-2)$
Solve.
$y - 7 = 6(x-2) 

y - 7 = 6x - 12

Add 7 both sides. 

y = 6x - 5$
So the equation is: $y = 6x - 5$

viva [34]3 years ago

4 0

((-5) - 7) / (0-2) = slope because equation for slope is y2 - y1 / x2 - x1. Then the y-intercept is already given. So slope is -12/-2 = 6 so, y= mx + b, meaning mx is slope of -6x and b being -5. Therefore the equation is y = -6x - 5. Hope this helps!

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