# Sketch a graph of the equation of y=3x+2

Looking at this equation you can see that it is in the form of y = mx + c and we know that this is the equation of a straight line. One way to solve this would be to inspect the equation and see that the c corresponds to a 2 in this case. Knowing that the c is the y-intercept we know this line would cross the y-axis at 2. Knowing the m corresponds to the gradient of a line we know every time the x moves along by 1 the y jumps up by 3. As we have found one coordinate, that of (0,2) we know the next coordinate must be (1,5) and the next after that would be (2,8). After finding 2 or 3 coordinates you can use a ruler to draw a line through the plotted points and that would be your graph. Another way to answer this question would be to plug different values of x into the equation and find the corresponding y values. For example you could plug 0 in and the y value would equal (3 x 0) + 2 = 2. Plugging 1 in would equal (3 x 1) + 2 = 5. Plugging 5 in would equal (3 x 5) + 2 = 17. After plugging in 2 or 3 values for x you can plot these points and join them up in order to find your line. To double check your answer you can notice your graph has a positive gradient meaning the line should slope upwards from left to right.

Answered by Hannah B. Maths tutor

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