Question

The line through (8,0) with slope -3/4 in slope-intercept form

Answer 1

y = (-3/4)x + 6

Explanation:

The slope intercept form is y=mx+b where m is the slope and b is the y intercept.

We have the slope (m) = -3/4

y = mx + b

y = (-3/4)x + b

So now we need to find b. Just pop in that point given (8,0) for x and y and solve for b.

y = (-3/4)x + b

0 = (-3/4)*8 + b

0 = -6 + b

6 = b

So our equation is:

y = (-3/4)x + 6

Answer 2

`\sf y = -(3)/(4)x + 6`

Explanation:

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

We know that the slope of the line is -3/4, and we know that the line passes through the point (8,0).

We can use this information to find the y-intercept, b.

Substituting the known values into the slope-intercept form gives us:

`\sf 0 = -(3)/(4)* 8 + b`

`\sf 0 = -6 + b`

Isolate b, we get

`\sf b = 6````

Therefore, the equation of the line in slope-intercept form is:

`\sf y = -(3)/(4)x + 6`