Enter the slope-intercept equation of the line that has slope 12 and y-intercept (0,3).
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
Points ( 0, 3 )
x1 = 0
y1 =3
Slope = 12
Determine the equation of the line in slope-intercept form.
Slope-intercept form:
y = mx + b
Before equating to slope-intercept form, the equation of the line must stated in point-slope form.
Point-slope form:
y - y1 = m (x - x1)
Solution:
Substitute the given values of x1 and y1 to the equation of the line in point-slope form.
y - 3 = 12 ( x - 0)
y - 3 = 12x
Transpose -3 on the other side of the equation on order to equate in slope-intercept form, hence we must take note that in transposing a number, the sign changes.
y = 12x - 3
Final answer:
y = 12x - 3