Answer:
[tex]y=\frac{-5}{2}x-3[/tex]
Step-by-step explanation:
Since we've already got the formula for slope-intercept here, it's easier to solve for it. Let's grab that equation.
[tex]y-7=\frac{-5}{2}(x+4)[/tex]
We'll start by distributing the slope.
[tex]y-7=\frac{-5}{2}x-10[/tex]
Then we'll just add the 7 to both sides of the equation, giving us...
[tex]y=\frac{-5}{2}x-3[/tex]
Answer:
The slope intercept form of the equation is [tex]y=-\frac{5}{2}x -3[/tex]
Step-by-step explanation:
Consider the provided equation.
[tex]y-7 =\frac{-5}{2}(x + 4)[/tex]
The slope intercept form is: [tex]y=mx+c[/tex]
Convert the above equation into slope intercept.
[tex]y-7 =\frac{-5}{2}(x + 4)[/tex]
[tex]y-7 =\frac{-5}{2}x + \frac{-5}{2}\times 4[/tex]
[tex]y=-\frac{5}{2}x -10+7[/tex]
[tex]y=-\frac{5}{2}x -3[/tex]
Hence, the slope intercept form of the equation is [tex]y=-\frac{5}{2}x -3[/tex]
