Answer:
In order to graph y=%284%2F5%29%2Ax-7 we only need to plug in two points to draw the line
So lets plug in some points
Plug in x=0
y=%284%2F5%29%2A%280%29-7
y=0%2F5-7 Multiply
y=-35%2F5 Add
y=-7 Reduce
So here's one point (0,-7)
Now lets find another point
Plug in x=5
y=%284%2F5%29%2A%285%29-7
y=20%2F5-7 Multiply
y=-15%2F5 Add
y=-3 Reduce
So here's another point (5,-3). Add this to our graph
Now draw a line through these points
So this is the graph of y=%284%2F5%29%2Ax-7 through the points (0,-7) and (5,-3)
So from the graph we can see that the slope is 4%2F5 (which tells us that in order to go from point to point we have to start at one point and go up 4 units and to the right 5 units to get to the next point) the y-intercept is (0,-7)and the x-intercept is (8.75,0) ,or (35%2F4,0)
We could graph this equation another way. Since b=-7 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-7).
So we have one point (0,-7)
Step-by-step explanation:
