what is the equation of the straight line shown below? give your answer in the form $y = mx + c$
what is the equation of the straight line shown below? give your answer in the form $y = mx + c$
Answer
Explanation:
Step1: Find the slope (m)
Choose two points on the line, say ((- 2,2)) and ((-3, - 2)). The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Substitute (x_1=-3,y_1 = - 2,x_2=-2,y_2 = 2) into the formula: (m=\frac{2-(-2)}{-2-(-3)}=\frac{2 + 2}{-2 + 3}=\frac{4}{1}=4)
Step2: Find the (y) - intercept (c)
Use the equation (y=mx + c) and substitute (m = 4) and a point ((x,y)=(-2,2)) (2=4\times(-2)+c) (2=-8 + c) Add (8) to both sides: (c=2 + 8=10)
Answer:
(y = 4x+10)