This equation represents a linear function in slope-intercept form. The slope of the line is 3 and the y-intercept is 10.
To graph this equation, plot the y-intercept (0,10) and then use the slope to find another point on the line. The slope of 3 means that for every increase of 1 in x, the y-value will increase by 3. So to find another point on the line, we can use x=1 and y=13 (since if x increases by 1, y will increase by 3).
Plot this point and then draw a straight line through both points. This line represents all the pairs (x,y) that make the equation y=3x+10 true.
Here is a visual representation of this graph:

y=3x+10
1 answer