Question

Write the equation of a line in slope-intercept form with the following information:

Slope = 4, goes through the point (3, 8)

Answer 1

To write the equation of a line in slope-intercept form, substitute the slope and a point into the equation and solve for the y-intercept. Then, write the equation with the slope and the y-intercept.

Step-by-step explanation:

To write the equation of a line in slope-intercept form, we can use the formula y = mx + b, where m is the slope and b is the y-intercept. Given that the slope is 4 and the line goes through the point (3, 8), we can substitute these values into the equation to find the y-intercept:

8 = 4(3) + b

8 = 12 + b

b = 8 - 12

b = -4

Now that we have the slope and the y-intercept, the equation of the line in slope-intercept form is y = 4x - 4.