Find an equation in slope intercept form of the line that has a slope 2 and passes through A(9,-2)a.) Y= 20x-2b.) Y= -2x-20c.) Y= 2x+20d.) Y= 2x-20
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
Points ( 9, -2)
x1 = 9
y1 = -2
m = 2
Write the equation of the line in slope-intercept form.
Formula for the point-slope form:
y -y1 = m (x - x1)
Formula for the slope-intercept form
y = mx + b
Solution:
Solve for point-slope form first, before going to slope-intercept form.
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - (-2) = 2 ( x -9 )
y + 2 = 2 (x - 9)
In order to equate to slope-intercept form, we simply need to distribute 2 to each value inside the parenthesis, and then transpose 2 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
y + 2 = 2x - 18
y = 2x - 18 - 2
y = 2x - 21
Final answer:
y = 2x - 21