Question

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form .

The equation of the line in the form is nothing. m=4 (2,2)

Answer 1

The equation of a line with a given slope and a point it passes through can be found using the formula y = mx + b. Substitute the slope value for m and the coordinates of the point for x and y in the equation. Solve for the y-intercept to find the complete equation.

Step-by-step explanation:

The equation of a line can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept. To find the equation of a line with a given slope and a point it passes through, substitute the slope value for m and the coordinates of the point for x and y in the equation. In this case, the slope m is 4 and the point it passes through is (2,2). So, the equation of the line is:

y = 4x + b

To find the value of b, substitute the coordinates of the point (2,2) into the equation:

2 = 4(2) + b

Solve for b:

2 = 8 + b

b = -6

Therefore, the equation of the line is y = 4x - 6.