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