Question

Find the equation of the line that passes through the given point and has the given slope. Use x as your variable.(0,1), m=4

Answer 1

To find the equation of the line that passes through the given point (0,1) and has a slope of 4, use the point-slope form of a linear equation: y = mx + b. Substitute the values into the equation and solve for b.

Step-by-step explanation:

To find the equation of a line that passes through a given point and has a given slope, we can use the point-slope form of a linear equation, which is y = mx + b. In this case, the given point is (0,1) and the slope is 4.

Substituting the values into the equation, we get y = 4x + b. To find the value of b, we can plug in the coordinates of the given point:

1 = 4(0) + b

b = 1

So the equation of the line is y = 4x + 1.