Question

A line passes through the point (10, 8) and has a slope of

11/12.
Write an equation in slope-intercept form for this line.

Answer 1

To write an equation in slope-intercept form, given the slope and a point, use the formula y = mx + b. Substitute the values and solve for b. Substitute b into the equation to get the final equation.

Step-by-step explanation:

To write an equation in slope-intercept form, we use the formula y = mx + b, where m represents the slope and b represents the y-intercept.

Given a slope of 11/12 and a point (10, 8), we can substitute these values into the formula:

y = (11/12)x + b

Next, we substitute the coordinates of the given point (10, 8) into the equation and solve for b:

• 8 = (11/12)(10) + b
• 8 = 110/12 + b
• 8 = 55/6 + b
• 8 - 55/6 = b
• (48 - 55)/6 = b
• -7/6 = b

Finally, we substitute the value of b back into the equation to write the final equation:

y = (11/12)x - 7/6

Learn more about Writing equations in slope-intercept form