a
.
a. Slope:
X+1
Incorrect Preview
x
x-intercept:
(
(
0
Correct
,
0
)
,0)
y
y-intercept:
(
0
,
(0,
1
Incorrect
)
)
b
.
b. Slope:
-2x-2
Incorrect
x
x-intercept:
(
(
-2
Correct
,
0
)
,0)
y
y-intercept:
(
0
,
(0,
-2
Incorrect
)
)
c
.
c. Slope:
-2x-2
Incorrect
x
x-intercept:
(
(
-2
Incorrect
,
0
)
,0)
y
y-intercept:
(
0
,
(0,
-2
Correct
)
)
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xyzHomework is p
you want to try reformatting that so it means something?
copy/paste does not always work well here.
To find the slope, x-intercept, and y-intercept of a linear equation, you need to follow these steps:
1. Identify the coefficient of x in the equation. This will be the number multiplied by x.
2. The coefficient of x is the slope of the line.
3. To find the x-intercept, set y = 0 in the equation and solve for x. The x value you find will be the x-coordinate of the point where the line crosses the x-axis.
4. To find the y-intercept, set x = 0 in the equation and solve for y. The y value you find will be the y-coordinate of the point where the line crosses the y-axis.
Let's take a look at the examples you provided:
a. Equation: y = x + 1
Slope: The coefficient of x is 1, so the slope is 1.
X-intercept: Setting y = 0, we get 0 = x + 1. Solving for x, we find x = -1. Therefore, the x-intercept is (-1, 0).
Y-intercept: Setting x = 0, we get y = 0 + 1. Therefore, the y-intercept is (0, 1).
b. Equation: y = -2x - 2
Slope: The coefficient of x is -2, so the slope is -2.
X-intercept: Setting y = 0, we get 0 = -2x - 2. Solving for x, we find x = -1. Therefore, the x-intercept is (-1, 0).
Y-intercept: Setting x = 0, we get y = -2(0) - 2. Therefore, the y-intercept is (0, -2).
c. Equation: y = -2x - 2
Slope: The coefficient of x is -2, so the slope is -2.
X-intercept: Setting y = 0, we get 0 = -2x - 2. Solving for x, we find x = -1. Therefore, the x-intercept is (-1, 0).
Y-intercept: Setting x = 0, we get y = -2(0) - 2. Therefore, the y-intercept is (0, -2).