Question

A line has a slope of 2 and passes through the point (1,3) write an equation in slope intercept form

slope intercept form: y=

Answer 1

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 2

The answer to your question is y = 2x + 1

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