Answer:
#1 - First option: y + 7 = [tex]\frac{-1}{4}[/tex](x -4)
#2 - First option: y = 2x - 5
Step-by-step explanation:
#1
Given: (x1,y1) = (4,-7) and m = [tex]\frac{-1}{4}[/tex];
To find the point slope form which is
y - y1 = m(x - x1); substitute (x1,y1) and m
y - (-7) = [tex]\frac{-1}{4}[/tex](x -4)
y + 7 = [tex]\frac{-1}{4}[/tex](x -4)
#2
Given: points (x1,y1) = (0, -5) and (x2,y2)=(4,3)
To find the slope we use
m = [tex]\frac{(y2-y1)}{(x2-x1)}[/tex] = [tex]\frac{(3-(-5))}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Now pick a number to find b
y = mx + b
y1 = mx1 + b
-5 = 2(0) + b
b = -5
now plug into y = mx + b; which is
y = 2x - 5
