passes through (1, -3), slope = -1
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
point (1, -3)
Slope = -1
Solution:
We can determine the equation of the line either in slope-intercept form or point-slope form, in our case we will do both. In order to write in slope-intercept form, we write first the equation in point-slope form.
Point-slope form:
y - y1 = m(x - x1)
Slope-intercept form:
y = mx + b
Substitute the values of x1, y1, and m to the point slope form.
y - y1 = m(x - x1)
y - (-3) = -1(x - 1)
Point-slope form: y + 3= -x + 1
Now we can convert point-slope form to slope-intercept form by transposing 3 on the other side of the equation. Note that when transposing a number, the sign changes.
y+3 = -x + 1
y = -x + 1 -3
Slope-intercept form: y = -x - 2
Final answer:
Point-slope form: y + 3= -x + 1
Slope-intercept form: y = -x - 2