Question

A line has a slope of (3)/(7) and passes through the point (14,10). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

To write the equation of a line in slope-intercept form, we use the slope-intercept equation y = mx + b. By substituting the given values and solving for b, the equation of the line is y = (3/7)x + 4.

Step-by-step explanation:

To write the equation of a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, we need to substitute the given values. The slope m is given as 3/7, and the line passes through the point (14,10). We can substitute the values for m and the coordinates of the point into the equation and solve for b.
Substituting the values:
10 = 3/7(14) + b
Simplifying:
10 = 42/7 + b
10 = 6 + b
10 - 6 = b
b = 4
So the equation of the line in slope-intercept form is y = (3/7)x + 4.