Question

Write the equation of the line in y = mx + b form from the given information. The line passes through the point (1, 5) and has a slope of 2.

Answer 1

y=2x+3

Explanation:

the equation of the line given in y=mx+b form is for m being the slope and b being the y intercept

we are given a point (1,5) and a slope (2)

since we know the slope, we can plug thatk known value into the equation:

y=2x+b

now we need to find b

because the line will pass through the point of (1,5), we can use it to solve for b

substitute 5 as y and 1 as x

5=2(1)+b

5=2+b

3=b

therefore the equation is

y=2x+3

Hope this helps!!