match the equation with its graph -3x + 5y =15
were are the graphs cant help if there isn't any graphs
good idea there are a few good graphing calculators look up desmos graphing calculator it is reliable
type this in onto a graphing calculator
ok kids thanks
To match the equation with its graph, we need to rearrange the equation into slope-intercept form, which is y = mx + b.
Let's rearrange the equation -3x + 5y = 15 to solve for y:
1. Start with -3x + 5y = 15.
2. Add 3x to both sides to isolate the y term: 5y = 3x + 15.
3. Divide both sides by 5 to solve for y: y = (3/5)x + 3.
Now that we have the equation in slope-intercept form, y = (3/5)x + 3, we can identify its graph.
The equation y = (3/5)x + 3 represents a linear function with a y-intercept of 3 and a slope of 3/5. This means that for every one unit increase in the x-coordinate, the y-coordinate will increase by 3/5.
To plot the graph:
1. Start by plotting the y-intercept, which is the point (0, 3).
2. Using the slope of 3/5, move up 3 units and right 5 units. Place a second point at (5, 6).
3. Connect the two points with a straight line.
The completed graph should be a straight line that passes through the points (0, 3) and (5, 6).