Respuesta :
Answer:
slope -2/5
y-intercept -3/5
Step-by-step explanation:
Slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.
Our goal is to write 2x+5y=-3 into y=mx+b to determine the slope and y-intercept.
So we need to isolate y.
2x+5y=-3
Subtract 2x on both sides:
5y=-2x-3
Divide both side by 5:
[tex]y=\frac{-2}{5}x-\frac{3}{5}[/tex]
Compare this to y=mx+b.
You should see m is -2/5 and b is -3/5
so the slope is -2/5 and the y-intercept is -3/5
Answer:
The slope is: [tex]-\frac{2}{5}[/tex] or [tex]-0.4[/tex]
The y-intercept is: [tex]-\frac{3}{5}[/tex] or [tex]-0.6[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
To write the given equation in this form, we need to solve for "y":
[tex]2x + 5y = -3\\\\5y=-2x-3\\\\y=-\frac{2}{5}x-\frac{3}{5}[/tex]
Therefore, you can identify that the slope of this line is:
[tex]m=-\frac{2}{5}=0.4[/tex]
And the y-intercept is:
[tex]b=-\frac{3}{5}=-0.6[/tex]