Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept.
Problem #1:
Slope: -2; y-intercept: (0,4)
my answer:
The points I used to graph were:
(0, 4) and (2, 0),
the equation is: Y= -2x + 4
Problem #2:
Slope: 5; y-intercept: (0, -2)
My answer:
To find the equation of a line given the slope and y-intercept, you can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
For Problem #1,
Slope: -2
Y-intercept: (0,4)
We can substitute the given values into the slope-intercept form:
y = mx + b
y = -2x + 4
So the equation of the line is y = -2x + 4.
To graph the line, plot the y-intercept point (0,4) on the y-axis. Then, using the slope (-2), you can find other points by moving down 2 units and to the right 1 unit. For example, from the y-intercept point, you can go down 2 units to (1, 2) and further down 2 units to (2, 0). Connect the plotted points with a straight line, and you will have the graph of the line y = -2x + 4.
For Problem #2,
Slope: 5
Y-intercept: (0, -2)
Using the slope-intercept form, we substitute the values:
y = mx + b
y = 5x - 2
So the equation of the line is y = 5x - 2.
To graph the line, plot the y-intercept point (0, -2) on the y-axis. Then use the slope (5) to find other points. Start from the y-intercept point and move up 5 units and to the right 1 unit. For example, move from (0, -2) to (1, 3), and further to (2, 8). Connect the plotted points with a straight line, and you will have the graph of the line y = 5x - 2.