Question

Write the equation of a line in slope-intercept form passing through (2, 7) and (-2, 9).

Answer 1

Not looking for an easy answer, if possible could you explain to me how to work through this problem?

Answer 2

Slope intercept form: y=mx+b

Answer 3

first, find the slope of the line:
clue: use the slope formula
second, plug the slope in y=mx+b (slope intercept form)

third, using the given point find the y-intercept of the equation (b)

lastly, rewrite the slope(m) and y-int(b) into y=mx+b (slope intercept form).

Answer 4

\[\frac{ y1-y2 }{ x1-x2 }\]
Slope formula

Answer 5

I got y=1/2x+8, is that right?

Answer 6

(2,7) (-2,9)
slope = m = (7 -9) / (2 --2) = -2 / 4 = -1 / 2

Forming the equation
b = y -mx
b = y -1/2 * x
Now take one of the given points (2,7) and plug it into the equation
That should give you a darned good start.

Answer 7

You know how to form an equation.
y = -1/2 x + 8 is right :-)