Final answer:
To solve the equation y = 9 + 3x, one must plug in different x values, multiply by 3, and add 9, creating a straight line on a graph where every point satisfies the equation.
Step-by-step explanation:
To solve for y in the equation y = 3x²−9x+19/2x+4, first we need to clarify the structure of the equation due to a possible typo. Assuming the equation is y = (3x² − 9x + 19) / (2x + 4), we would proceed by plugging in values for x and solving for y. However, this value of y will be variable depending on the value of x because it's a rational function, not a simple linear equation.
If the intended equation is y = 9 + 3x, which is a linear equation with a slope (m) equal to 3 and a y-intercept (b) equal to 9, we can easily find values for y by selecting different values for x, multiplying each by 3, and then adding 9. This linear function will represent a straight line on a graph, and any point on this line will satisfy the equation.