Question

Write the equation of a line in slope intercept form given; (6,-3), (0, 5)

Answer 1

Answer:

$y=(-4/3)x+5$

Step-by-step explanation:

so you want to start by using y=mx+b

step one: find the slope (remember m is the slope in this)

m= $\frac{y2-y1}{x2-x1}$

m= $\frac{5+3}{0-6}$

m= $\frac{8}{-6}$

m= - $\frac{4}{3\\}$

step two: insert the value we found for m into the equation and take one of the given points and insert the x and y into the equation (im using (0,5)) and solve for b.

y=mx+b

5= -4/3(0)+b

5=b

step three: rewrite y=mx+b with the values we found for m and for b

$y=(-4/3)x+5$