Answer:The given equation is in the form of a line, where the slope and y-intercept are -2 and 5, respectively. We can plot the y-intercept at (0, 5) and use the slope to find more points on the line. For instance, we can move 1 unit to the right and 2 units down from the y-intercept which gives us the point (1, 3). We can connect these points to get a line that decreases from left to right. To check if a point lies on this line, we can substitute the values of x and y in the equation.
Step-by-step explanation:Summarize the following text: This is the equation of a line in slope-intercept form, where the slope (m) is -2 and the y-intercept (b) is 5. To graph this equation, you can start by plotting the y-intercept, which is the point (0, 5). Then, you can use the slope to find one or two more points on the line.
For example, since the slope is -2, you can find another point by moving down 2 units (because the slope is negative) and to the right 1 unit (because the slope is -2/1) from the y-intercept. This gives you the point (1, 3).
You can plot these two points and connect them with a straight line to graph the equation. The line will be slanting downwards from left to right, indicating that as x increases, y decreases.
To check if a point (x, y) is on the line, you can substitute x and y into the equation and see if the equation is true. If it is, the point is on the line, and if it's not, the point is not on the line.