Answer:
The slope of the line is m = −1
The y-intercept is (0,3)
The equation of the line in the slope-intercept form is y = 3 − x
or y = -x + 3
Explanation:
The slope of a line passing through two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1 / x2−x1.
We have that x1 = 0, y1 = 3, x2 = 5, and y2 = −2.
Plug the given values into the formula for a slope: m = −2−3 / 5−0 = −1
or -5/5 =-1
Now, the y-intercept is b = y1 − mx1 (or b = y2 − mx2, the result is the same).
b = y-int
y1 = 3
m = slope = -1
x1 = 0
b = 3 − (−1) ⋅ (0) = 3
Finally, the equation of the line can be written in the form y = b + mx:
y = 3 − x