Question

Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution

Answer 1

Answer:

The slope-intercept form of the given line is:

               $y=\dfrac{-1}{3}x+1$

Step-by-step explanation:

We know that the slope intercept form of a line is given by the equation:

                 $y=mx+c$

where m is the slope of the line.

and c is the y-intercept of the line.

The line passes through (0,1) and (3,0)

Hence, the slope of  a line is calculated by using the two-point formula:

i.e. if any line passing through (a,b) and (c,d) is calculated by:

$y-b=\dfrac{d-b}{b-a}\times (x-a)$

Here we have:

(a,b)=(0,1) and (c,d)=(3,0)

Hence, the equation of the line is:

$y-1=\dfrac{0-1}{3-0}\times (x-0)\\\\\\i.e.\\\\y-1=\dfrac{-1}{3}x\\\\\\i.e.\\\\\\y=\dfrac{-1}{3}x+1$

                    The answer is:

               $y=\dfrac{-1}{3}x+1$

Answer 2

Your points are (1.5,0) and (0,3.5)

The equation for slope-intercept is y2-y1 over x2-x1

3.5-0 over 0-1.5

3.5 over -1.5