Answer:
The equation that will satisfy x and y values in the table is y = 2x + 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line that represents the equation
- b is the y-intercept, value y at x = 0
The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
- (x1, y1) and (x2, y2) are two points on the line
From the given table
∵ x = 0 and y = 3, x = 1 and y = 5
∴ x1 = 0 and x2 = 1
∴ y1 = 3 and y2 = 5
→ Substitute them in the rule of the slope above
∵ m = [tex]\frac{5-3}{1-0}[/tex] = [tex]\frac{2}{1}[/tex]
∴ m = 2
∵ b is the value of y at x = 0
∵ y = 3 at x = 0
∴ b = 3
→ Substitute the values of m, b in the form of the equation above
∴ y = 2x + 3
∴ The equation that will satisfy x and y values in the table is y = 2x + 3
