write the equation of the line in slope-intercept form, $y = mx + b$.
write the equation of the line in slope-intercept form, $y = mx + b$.
Answer
Explanation:
Step1: Find the slope (m)
Use the formula (m=\frac{y_2 - y_1}{x_2 - x_1}). Let's take two points on the line, say ((0,-3)) and ((3,-1)). (m=\frac{-1-(-3)}{3 - 0}=\frac{-1 + 3}{3}=\frac{2}{3})
Step2: Find the (y) - intercept (b)
The (y) - intercept (b) is the (y) - value when (x = 0). From the point ((0,-3)), (b=-3)
Step3: Write the equation
Substitute (m=\frac{2}{3}) and (b =- 3) into (y=mx + b) (y=\frac{2}{3}x-3)
Answer:
(y=\frac{2}{3}x - 3)