How do you write an equation in slope intercept form given (5, 1) and (-4, 7)?

Question

How do you write an equation in slope intercept form given (5, 1) and (-4, 7)?

1 Answer

Impact of this question

2064 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-19T15:41:40

The equation is y = - $\frac{2}{3}$ $2/3$ x + $\frac{13}{3}$ $13/3$

Explanation:

The slope intercept form is y = mx +c
where m is the slope and c is the intercept
To find m, find the difference between the y values divided by the difference between the corresponding x values of the two points
The points are (5, 1) and (-4, 7)
so
m = $\frac{7 - 1}{- 4 - 5}$ $(7 - 1)/(-4 -5)$ = $\frac{6}{- 9}$ $6/ -9$ = - $\frac{2}{3}$ $2/3$

Substitute m into y = mx + c giving
y = - $\frac{2}{3}$ $2/3$ x + c

to find c, substitute one of the given points into the above
So using (5, 1)
1 = - $\frac{2}{3} \times 5$ $2/3xx5$ + c
1 = - $\frac{10}{3}$ $10/3$ + c
c = 1 + $\frac{10}{3}$ $10/3$ = $\frac{13}{3}$ $13/3$
It is best to keep the values as fractions, so the slope intercept form of the equation is
y = - $\frac{2}{3}$ $2/3$ x + $\frac{13}{3}$ $13/3$

Science

Math

Humanities

... and beyond

How do you write an equation in slope intercept form given (5, 1) and (-4, 7)?

1 Answer

Explanation:

Related questions

Impact of this question