2x+5y=15 in slope intercept form

Slope intercept: y-y1=m(x-x1)
1) Solve the equation for y.
2x+5y=15
-2x        -2x
5y=15-2x
y=3-2/5x

Slope: 2/5 (What's in front of x)
The slope is m.

x1 and y1 are coordinates so graoh this and find out what it is.
Then plug it into the equation.

Solve for y by making 5y alone on one side of the equal sign and dividing everything by 5. y=(-2/5)x+3

Solutions 

The equation of a horizontal line is y=value. The slope of a horizontal line is 0. The y-coordinate of every point on the graph of a horizontal line is value (y=value). The equation of a vertical line is x=value. The slope of a vertical line is undefined. The x-coordinate of every point on the graph or vertical line is value (x=value).

The general form of the equation of a line isax+by=c. Every line has an equation that can be written in slope-intercept form. When a graphing utility is used to sketch a straight line, the graph of the line may not visually appear to have the slope indicated by its equation because the tick marks are not equally spaced