Step-by-step explanation:
We need 2 things in order to write slope-intercept equations: the slope, and the y-intercept. Remember that the form is [tex]y=mx+b[/tex], where [tex]m[/tex] is slope and [tex]b[/tex] is y-intercept. All of the lines show the y-intercept, but not the slope. We can calculate slope using two points on the line and the slope equation, [tex]m=\frac{y2-y1}{x2-x1}[/tex].
1. Two points: (1,-3) and (0,4)
[tex]m=\frac{4-(-3)}{0-1}=\frac{7}{-1}=-7[/tex]
So the equation would be: [tex]y=-7x+4[/tex]
2. Points: (-1,-2) and (0,1)
[tex]m=\frac{1-(-2)}{0-(-1)}=\frac{3}{1}=3[/tex]
Equation: [tex]y=3x+1[/tex]
3. Points: (0,5) and (-2,4)
[tex]m=\frac{4-5}{-2-0}=\frac{-1}{-2} =\frac{1}{2}[/tex]
Equation: [tex]y=\frac{1}{2}x+5[/tex]
4. Points: (0,-2) and (-4,1)
[tex]m=\frac{1-(-2)}{-4-0}=\frac{3}{-4}=-\frac{3}{4}[/tex]
Equation: [tex]y=-\frac{3}{4}x-2[/tex]
Hope this helps!
