find the x and y intercepts, then graph.\n7) ( x + 4y = 8 )\n8) ( x - 4y = -4 )\nwrite the slope - intercept…

find the x and y intercepts, then graph.\n7) ( x + 4y = 8 )\n8) ( x - 4y = -4 )\nwrite the slope - intercept form of the equation of the line through the given points.\n9) through: ( (-4,4) ) and ( (-5,-1) )\nwrite the point - slope form of the equation of the line through the given points.\n10) through: ( (5,1) ) and ( (2,2) )

find the x and y intercepts, then graph.\n7) ( x + 4y = 8 )\n8) ( x - 4y = -4 )\nwrite the slope - intercept form of the equation of the line through the given points.\n9) through: ( (-4,4) ) and ( (-5,-1) )\nwrite the point - slope form of the equation of the line through the given points.\n10) through: ( (5,1) ) and ( (2,2) )

Answer

Explanation:

Step1: Find the slope (m)

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). For the points ((-4,4)) and ((-5,-1)), (x_1=-4,y_1 = 4,x_2=-5,y_2=-1). (m=\frac{-1 - 4}{-5-(-4)}=\frac{-5}{-1}=5)

Step2: Use the point - slope form (y - y_1=m(x - x_1)) to find the slope - intercept form (y=mx + b)

Use the point ((-4,4)) and (m = 5). (y-4=5(x + 4)) Expand: (y-4=5x+20) Add 4 to both sides: (y=5x+24)

Answer:

(y = 5x+24)