Which of the following is the equation of a line in slope-intercept form for a line with slope = 1 and y-intercept at (0,-4)?
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
(0, -4)
m = 1
x1 = 0
y1 = -4
Determine the equation in slope-intercept form.
Point-slope form:
y - y1 = m ( x - x1)
Slope-intercept form:
y = mx + b
Solution:
Before equating to slope-intercept form, we must first solve for the point-slope form. To do so, simply substitute the values of x1, y1, and m to the formula.
y - (-4) = 1 ( x - 0)
y + 4 = x
To change to slope-intercept form, we simply need to transpose 4 on the other side of the equation, hence we must take note that in transposing numbers, the sign changes.
y = x - 4
Final answer:
y = x - 4