Question

What is the slope-intercept for of the equation y-7=-5/2(x+4)

Answer 1

slope-intercept form:
\[y = mx + b\]
where m= slope, b=y-intercept
just rearrange the given equation such that the coefficient of y is one and in the form stated above

Answer 2

so y=-5/2x+11?

Answer 3

You probably made an error with distributing, but here is how I would do it

\[\Large y-y_1=m(x-x_1)\]

\[\Large y-7=-\frac{5}{2}(x+4)\]

\[\Large y-7=-\frac{5}{2}x-\frac{5}{2}*4\]

\[\Large y-7=-\frac{5}{2}x-10\]

\[\Large y-7+7=-\frac{5}{2}x-10+7\]

\[\Large y=-\frac{5}{2}x-3\]