Write the equation of the line with slope 4 and y-intercept (0,-5).Then graph the line.
The equation is is y = 4x - 5
You will have to draw the graph yourself. Plot the location of any two points on your (x,y) graph paper and draw a straight line through them.
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To write the equation of a line when given the slope and y-intercept, you can use the slope-intercept form of a linear equation: y = mx + b, where "m" represents the slope and "b" represents the y-intercept.
Given that the slope (m) is 4 and the y-intercept (0, -5), we can substitute these values into the equation:
y = 4x - 5
This equation represents the line with a slope of 4 and a y-intercept of (0, -5).
To graph the line, you can follow these steps:
1. Plot the y-intercept on the y-axis, which in this case is (0, -5). This point is the starting point of the line.
2. Use the slope to determine another point on the line. Since the slope is 4, it means for every unit increase in x, the y-value increases by 4. Start from the y-intercept (0, -5) and move up 4 units and right 1 unit to find another point on the line. This point will be (1, -1) since -5 + 4 = -1.
3. With two points on the line, plot them on the graph.
4. Draw a straight line passing through the two points. This line represents the equation y = 4x - 5.
The graph of the line y = 4x - 5 will have an upward slope and will pass through the points (0, -5) and (1, -1).