Write the equation of the line slope 2, through (3,1)

y = 2x - 5

work:

to write equations, we use the format y = mx + b.

m stands for the slope, and b stands for the y intercept.

this means that you should be able to enter the values for y and x and get a valid equation as a result.

in this equation, we are not given a y intercept value, but we do have a slope and x and y values, so we have to solve by substituting.

so, let's substitute in the values of y and x and the slope,

and solve for b, the y intercept.

1 = 2(3) + b (multiply 2 x 3)

1 = 6 + b (subtract 6 from both sides)

- 5 = b

b has a value of -5. let's place this into the equation.

y = 2x - 5.

the slope is 2, and the y intercept is -5, let's plug in our y and x values to verify that this is true.

1 = 2(3) - 5

1 = 6 - 5

1 = 1

so, this equation is correct. hope this helps and have a great day!

y-1=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-3)