441,708 views
2 votes
2 votes
Find the equation of the line use exact numbers

Find the equation of the line use exact numbers-example-1
User Tony Eastwood
by
2.4k points

1 Answer

14 votes
14 votes

Answer:

y = -³/2x + 3

Explanation:

To find the equation of the line in slope-intercept form, y = mx + b, we need to finder the slope (m) and the y-intercept (b).

✔️Slope (m) = ∆y/∆x

Using two points on the line, (0, 3) and (2, 0),

Slope = (0 - 3)/(2 - 0) = -3/2

Slope (m) = -³/2

✔️y-intercept (b) = 3 (this is the y-cooordinate of the point where the line intercepts the y-axis)

✔️To write the equation, substitute m = -³/2 and b = 3 into y = mx + b

This:

y = -³/2x + 3

User Ashish Musale
by
3.1k points