graph a line with the indicated slope and y-intercept. slope=-6 y-intercept=(0,7)
y = m x + b
7 = 0 + b
b = 7
so
y = -6 x + 7
where does that hit x axis ?
0 = -6 x + 7
x = 7/6
so (7/6 , 0)
draw line through
(7/6 , 0) and (0 , 7)
To graph a line with the indicated slope and y-intercept, you can follow these steps:
1. Start by marking the y-intercept on the y-axis. In this case, the y-intercept is (0,7), which means the line crosses the y-axis at the point (0, 7). Place a point on the y-axis at the height of 7.
2. Use the slope to find the next point on the line. The slope represents how the line changes in the y-direction for each unit change in the x-direction. The slope is given as -6, which means for every increase of 1 in the x-direction, the line will decrease by 6 in the y-direction.
3. Starting from the y-intercept (0,7), move 1 unit to the right in the x-direction. Since the slope is -6, you will need to move 6 units down in the y-direction. Place another point on the coordinates (1,1), which is one unit to the right and 6 units down from the y-intercept.
4. Repeat step 3 to find more points on the line. Move 1 unit to the right and 6 units down from the previous point. Place another point on the coordinates (2, -5). Continue this pattern until you have enough points to sketch the line accurately.
5. Finally, draw a straight line connecting all the points you have plotted. The line should extend infinitely in both directions.
The graph of the line with a slope of -6 and a y-intercept of (0,7) should look like a diagonal line that decreases steeply from left to right.