write the equation of each line in point slope form.then graph the line Slope -1/2, y-intercept 2
Mathematics · Middle School · Tue Nov 03 2020
Answered on
GIven:
Slope = -½
y-intercept = 2
Write the equation of the line in point-slope form.
Point-slope form:
y - y1 = m ( x - x1)
Solution:
Since we are given the y-intercept, we must first determine the x-intercept, by solving for the equation of the line in slope-intercept form.
The given can be written in slope-intercept form as,
y = mx + b
y = -½x + 2
Equate y to 0 and solve for x.
0 = -½x + 2
Transpose 2 on the other side of the equation and multiply both sides by -2 in order to cancel ½. Hence we must also take note that when transposing a number, the sign changes.
-½x = -2
(-2)-½x = (-2)(-2)
x = 4
Now we can write the point-slope form, by substituting the given values of x, y and m.
y - 2 = -½(x - 4)
Final answer:
y - 2 = -½(x - 4)