What is the slope-intercept form of 10x - y - 8 = 0?a)y = -2xb)y = -10...
The slope-intercept form of the equation for a line is y = mx + b; isolate y on the left side of the equation, as follows:
10x − y − 8 = 0
10x − y = 8
− y = −10x + 8
y = 10x − 8
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What is the slope-intercept form of 10x - y - 8 = 0?a)y = -2xb)y = -10...
The slope-intercept form of the equation for a line is y = mx + b; isolate y on the left side of the equation, as follows:
10x − y − 8 = 0
10x − y = 8
− y = −10x + 8
y = 10x − 8
What is the slope-intercept form of 10x - y - 8 = 0?a)y = -2xb)y = -10...
Given equation: 10x - y - 8 = 0
To find the slope-intercept form of the equation, we need to solve for y.
Step 1: Move the term containing y to the other side of the equation.
10x - y = 8
Step 2: Rewrite the equation in the form y = mx + b, where m is the slope and b is the y-intercept.
-y = -10x + 8
Step 3: Multiply both sides of the equation by -1 to isolate y.
y = 10x - 8
So, the slope-intercept form of the equation 10x - y - 8 = 0 is y = 10x - 8.
Explanation:
- We start by moving the term containing y to the other side of the equation to isolate y.
- Next, we rearrange the equation to get y by itself on one side of the equation and the other terms on the other side.
- By multiplying both sides of the equation by -1, we ensure that the coefficient of y is positive, which is the convention in the slope-intercept form.
- The resulting equation, y = 10x - 8, is in the form y = mx + b, where m is the slope (in this case, 10) and b is the y-intercept (in this case, -8).
- This form allows us to easily identify the slope and y-intercept of the equation.