y=1/2x+3
Slope?
x-intercept
y-intercept
How do I graph this?
if a line y= ax+b, then a is the slope and b is the y-intercept.
here line is y=1/2 x+3
so slope is 1/2 and y-intercept is 3.
it means that y increases 1 unit for every 3 units of x increases
y = 1/2x + 3
Slope: m = 1/2
y-intercept is when x = 0
y = mx + b
y = 1/2(0)+3
y = 0 + 3
y = 3
y-intercept is 3
x-intercept is when y = 0
0 = 1/2x + 3 > move 1/2x to the left and change sign.
0 -1/2x = 3
-1/2x = 3 > divide on both sides by -1/2
x = -6
x-intercept is -6
Graph:
y=1/2x+3
You can give x a value and plot points, then draw a line.
y=1/2x+3 x = 2 y = 1/2(2)+ 3 y = 4
x = 4 y = 1/2(4)+ 3 y = 5
x = -2 y = 1/2(-2)+3 y = 2
x = -4 y = 1/2(-4)+3 y = 1
(2,4)
(4,5)
(-2,2)
(-4,1)
You can also graph by going to positive 3 on the y-axis. Then go up 1 and to the right 2. From that point, repeat the sequence > up 1, to the right 2.
You can also go to positive 3 on y-axis then go down 1, to the left 2. From that point repeat sequence > down 1, to the left 2.
Then draw a line.
To find the slope of the given equation, you can observe the equation in slope-intercept form, y = mx + b. In this equation, m represents the slope. Comparing the given equation, y = 1/2x + 3, with the slope-intercept form, we can see that the slope is 1/2.
The x-intercept is the point where the graph of the equation intersects the x-axis. To find the x-intercept, set y = 0 in the given equation, since at the x-intercept, the y-coordinate is zero. Solve for x:
0 = 1/2x + 3
1/2x = -3
x = -6
So, the x-intercept of the given equation is (-6, 0).
The y-intercept is the point where the graph of the equation intersects the y-axis. To find the y-intercept, set x = 0 in the given equation, since at the y-intercept, the x-coordinate is zero. Solve for y:
y = 1/2(0) + 3
y = 3
So, the y-intercept of the given equation is (0, 3).
To graph the equation y = 1/2x + 3, you can use the slope-intercept form. Start by plotting the y-intercept, which is (0, 3). Then, use the slope, 1/2, to determine additional points on the graph. The slope of 1/2 indicates that for every 1 unit increase in x, there is a 1/2 unit increase in y. From the y-intercept (0, 3), you can move 2 units to the right and 1 unit up to reach another point, giving you (2, 4). You can continue this process to plot more points and then connect them to form a straight line.