# On the graph of the equation 2x + 5y = -30, what is the value of the y-intercept?

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On the graph of the equation 2x + 5y = -30, what is the value of the y-intercept

also To which graph does the point (8, -2) belong?

and What is the slope of the line that passes through (1, 4) and (1, -3)?

also To which graph does the point (8, -2) belong?

and What is the slope of the line that passes through (1, 4) and (1, -3)?

• The y-intercept, as the name suggests, is the point where a line crosses the y-axis. The x-value of a y-intercept is always zero (because that’s where the y-axis is).

When a linear equation is in the form y = mx + b, the y-value of the y-intercept is b. So, if you manipulate the given equation into that form, you’ll find the y-intercept.

2x + 5y = -30

5y = -2x – 30

y = (-2/5)x – (30/5)

y = (-2/5)x – 6

The y-value of the y-interecept is thus -6. So, the coordinate of the y-intercept is (0,-6)

• Y-intercept means that X=0

So 2(0)+5y=-30

5y=-30

Y-intercept=-6

I did not understand the second question about which graph… But the slope you should know the formula y2-y1/x2-x1 x1=1 y1=4 x2=1 y2=-3

So -3-4/1-1 -7/0 so the slope is a straight vertical line (from up to down)

• the y-intercept is the value on the graph where x = 0

2(0) + 5y = -30

5y = -30

y = -30/5 = -6

that’s it– the y-intercept is -6 (or the point (0 , -6))

• It is -6. One simple way is taking x as zero and solving the equeation. Or draw the graph and point at which the line intersects th ey-axis is the y intercept.

• It’s -6

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