Respuesta :

Answer:

[tex]y=-\frac{3}{2}x+1[/tex]

Step-by-step explanation:

Slope-intercept form means

[tex]y=mx+c[/tex]

where m is given its the slope which is [tex]-\frac{3}{2}[/tex] and we have the coordinates x and y which is (4, -5) and we need to find the value of c which is the y-intercept so we insert all these values into the equation so ,

[tex]y=mx+c[/tex]

[tex]-5 = -\frac{3}{2}(4)+c[/tex]

[tex]-5=-6+c[/tex]

[tex]c=1[/tex]

now we know the value of slope which is given [tex]-\frac{3}{2}[/tex] and we found the value of which is 1 so we put these values into our original slope-intercept form equation

[tex]y=mx+c\\\\y=-\frac{3}{2}x+1[/tex]

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