Given the equation of a line in standard form, determine the slope and y-intercept

The standard form of an equation of a line is y=mx+b. Our example equation will be 15=5x+3. The y-intercept would be when x=0, and the slope is m. We need to use algebra to find the y-int, but we can find the slope with just the equation. m=5.

To find the y-int, we need to set x as zero. This is because the intercept will be on an axis, therefore x is zero.

15=5 (0) + 3

15=0+3

15=3

y=3

The y-intercept is 3. The slope is 5.