Write in slope-intercept form an equation of the line that passes through the given points. (β9, 5), (β3, 3)
Accepted Solution
A:
The slope intercept form is the y = mx + b We need to solve for the slope first remember the slope is the change in y/ over the change in x y2 - y1 / x2 - x1 3 - 5 / -3 --9 -2/6 this can be simplified to -1/3 That is the slope so we plug it into the equation y = mx + b m = slope y = -1/3x + b Now to solve for the y-intercept, we plug in one of the coordinates to solve for b 3 = -1/3(-3) + b 3 = 1 + b 3 = b + 1 subtract 1 from both sides 2 = b That is the point where it intercepts the y-axis (0,2)
Now we have our equation for the line that passes through the points, (-9,5)(-3,3).Β That equation is y = -1/3x + 2