To convert 2x + 4y = 12 into slope-intercept form, we must put it into y = mx + b form, where m represents the slope of the line and b is the y intercept of the equation. To begin, we should subtract 2x from both sides so that we can get the variable y alone on the left side of the equation.

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The only kind of line with a slope of zero is a horizontal line- the only values this equation takes on is when y=4 ; it doesn’t matter what x is. We will just have a horizontal line at y=4 .

Each element of the domain is being traced to one and only element in the range. However, it is okay for two or more values in the domain to share a common value in the range.

Range. The set of all the values which are output when the function is evaluated at all the input values from the domain. That is, the set of all the values the dependent variable may assume. Graphically, the range is the set of all the y-coordinates.

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Hence, the slope of the line is 43 and the y-intercept is −45.

To find the y -intercept, set x=0 . Hence, the y -intercept is 54 .

Using the slope-intercept form, the slope is −4 .

The slope is always the number infront of x. In our case, -3.

The y-intercept occurs when x = 0. To find it, set x = 0 in the 6x + 2y = 4 equation and solve for y. The y-intercept occurs at the point (0,b) where b is the value you get when you solve for y. Plot that point of the graph and use your straight edge to draw the line that goes through the two plotted points.