Question

Triangle abc is similar to triangle def. write the equation, in slope intercept form, of the side of triangle def that is parallel to line segment bc. you must show all work to receive credit.

Answer 1

The equation in slope intercept form is y = -x+8

Disclaimer!!

The question is incomplete because diagram is missing and the diagram is inserted below  

The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable.

The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.

The side that is parallel to BC is EF

We need to find the slope of EF

m = 2-4/6-4

= -2/2

m = -1

Now , put the formula in point-slope form and simplify.

Let's use point F, which is (6,2)

$y-2=-(x-6)$

Simplifying the equation

$y-2 = - x+6$

$y =-x+6+2$

$y = -x+8$

Hence the equation of slope intercept form is y= -x+8

Learn more about Slope Intercept form here

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