Question

Write an equation, in slope-intercept form using the given info.
(5, 4) m= -2/3

Answer 1

y = -2/3x + 22/3

Explanation:

An equation is written in slope-intercept form when it is written as:

y = mx + b, where m is the slope of the line and b is the y-intercept.

Therefore, because we are given m and a coordinate pair of the line, we can use the point-slope formula to make the equation.

The point-slope formula is
`\boxed{y-y_(1)=m(x-x_(1))}`.

Because we are given only one coordinate pair, it is labeled as
`(x_(1), y_(1))`.

Now, just plug in this information and solve the equation.

y - 4 = -2/3(x - 5) Distribute the -2/3 throughout the terms.

y - 4 = -2/3x + 10/3 Add 4 to both sides of the equation.

y = -2/3x + 22/3