Question

Write an equation in slope-intercept form for the line that satisfies the following condition: slope 4, and passes through (2, 20).

A. y = 20x + 12
B. y = 2x - 2
C. y= 4x – 20
D. y = 4x + 12

Answer 1

The equation in slope-intercept form for the line that satisfies the given condition is y = 4x + 12.

Step-by-step explanation:

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is 4 and the line passes through the point (2, 20), we can substitute these values into the equation. We get y = 4x + b. To find the value of b, we substitute the coordinates of the point into the equation and solve for b. Substituting x = 2 and y = 20, we get 20 = 4(2) + b. Solving for b, we find that b = 12.

Therefore, the equation in slope-intercept form for the line that satisfies the given condition is y = 4x + 12.