Question

Write the slope-intercept form of the equation for the line.



A. y = -5/8x + 1/2

B. y = 8/5x - 1/2

C. y = 5/8x + 1/2

D. y = 8/5x + 1/2

Answer 1

y=mx+c
c is the y-intercept where x=0

Answer 2

B is off

Answer 3

m is the slope, negative slope will look like

Answer 4

A is out

Answer 5

You're left with C and D, now choose a point on the line, like (-1,0) substitute into one of those equations see if they're equal

Answer 6

is it C

Answer 7

Wait you're supposed to write the equation

Answer 8

So choose any point on the line, (-1,0), (4,3)

Find the slope

Take the coordinates \((x_1,y_1)\) and \((x_2,y_2)\)
Slope formula is
\[Slope=\frac{y_2-y_1}{x_2-x_1}\]
Substitute and find slope

Answer 9

Then use (-1,0), and the slope for the point slope form
\[y-y_1=m(x-x_1)\]