The equation in point-slope form is: y + 32 = 3/2(x - 2)
The equation in slope-intercept form is: y + 32 = 3/2(x - 2)
How to Write the Equation of a Line?
To write the equation of the line in point-slope form, we can find slope of the line using two points, say, (2, -32) and (4, -29):
Slope (m) = (-29 -(-32)) / (4 - 2) = 3/2
Slope (m) = 3/2
Substitute (a, b) = (2, -32) and m = 3/2 into y - b = m(x - a):
y - (-32) = 3/2(x - 2)
y + 32 = 3/2(x - 2) [point-slope form]
Rewrite in slope-intercept form
y + 32 = 3/2(x - 2)
y + 32 = 3/2x - 3
y = 3/2x - 3 - 32
y = 3/2x - 35
The equation in point-slope form is: y + 32 = 3/2(x - 2)
The equation in slope-intercept form is: y + 32 = 3/2(x - 2)
Learn more about equation of a line on:
https://brainly.com/question/13763238
#SPJ1
