1. Writing Equations in point-slope form.
4-3 Notes for Algebra 1
Writing Equations in point-slope form.

2. Point-Slope form
𝑦− 𝑦 1 =𝑚 𝑥− 𝑥 1 m– is the slope of the line 𝑥 1 , 𝑦 1 -- is a given point on the line. 𝑥, 𝑦 -- represents all points on the line.

3. Example 1 pg. 233 Write an Graph an Equation in Point-Slope form.
Write an equation in point-slope form for the line that passes through −2, 0 with a slope of − Then graph the equation.

4. Example 1 pg. 233 Write an Graph an Equation in Point-Slope form.
Write an equation in point-slope form for the line that passes through −2, 0 with a slope of − Then graph the equation. 𝑦−0=− 3 2 (𝑥+2) 4 3 2 1 -4 -3 -2 -1 5

5. Example 2 pg. 234 Standard Form
Write 𝑦= 3 4 𝑥−5 in standard form.

6. Example 2 pg. 234 Standard Form
Write 𝑦= 3 4 𝑥−5 in standard form. 3𝑥−4𝑦=20

7. Example 3 pg. 234 Slope-Intercept Form
Write 𝑦−5= 4 3 𝑥−3 in slope-intercept form.

8. Example 3 pg. 234 Slope-Intercept Form
Write 𝑦−5= 4 3 𝑥−3 in slope-intercept form. 𝑦= 4 3 𝑥+1

9. Example 4 pg. 235 Point-slope form and Standard form.
GEOMETRY The figure shows trapezoid ABCD with bases 𝐴𝐵 and 𝐶𝐷 . 1.) Write an equation in point- slope form for the line containing the side 𝐵𝐶 2.) Write an equation in standard form for the same line.
𝐴 −2, 3
𝐵 4, 3
𝐷 1, −2
𝐶 4 6 ,−2

10. Example 4 pg. 235 Point-slope form and Standard form.
GEOMETRY The figure shows trapezoid ABCD with bases 𝐴𝐵 and 𝐶𝐷 . 1.) Write an equation in point- slope form for the line containing the side 𝐵𝐶 𝑦−3=− 5 2 𝑥−4 or 𝑦+2=− 5 2 𝑥−6 2.) Write an equation in standard form for the same line. 5𝑥+2𝑦=26
𝐴 −2, 3
𝐵 4, 3
𝐷 1, −2
𝐶 4 6 ,−2

11. 4-3 pg o, 34-39, 54-75(x3)