Respuesta :
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
You know:
m = 2 So substitute/plug it into the equation
y = mx + b
y = 2x + b To find b, plug in the point (1, 3) into the equation, then isolate/get the variable "b" by itself in the equation
3 = 2(1) + b Subtract 2 on both sides to get "b" by itself
3 - 2 = 2 - 2 + b
1 = b
y = 2x + 1
Answer:
The answer to your question is y = 2x + 1
Step-by-step explanation:
Data
slope = m = 2
Point = (1, 3)
Process
To solve this problem, just substitute the values in the equation slope-intercept form.
x1 = 1 y1 = 3
-Substitution
y - y1 = m(x - x1)
y - 3 = 2(x - 1)
-Expand
y - 3 = 2x - 2
-Simplify
y = 2x - 2 + 3
-Result
y = 2x + 1