What is the equation of a line that has a slope of 4/3 and goes through the point (0, – 3), in slope-intercept form?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
Points ( 0, -3)
Slope: 4/3
x1 = 0
y1 = -3
m = 4/3
Determine the equation of the line in slope-intercept form.
Slope-intercept form:
y = mx + b
Solution:
Before we can proceed to slope intercept form, we must designate the values in point-slope form denoted as,
y - y1 = m(x - x1)
y - (-3) = 4/3(x - 0)
y + 3 = 4/3x
Transpose 3 on the other side of the equation, note that when transposing a number, the sign changes.
y = 4/3x -3
Final answer:
y = 4/3x -3