If the equation of a line is given as 4x - y = 8, what is the y-intercept of the
Practice Questions
Q1
If the equation of a line is given as 4x - y = 8, what is the y-intercept of the line?
8
4
-8
-4
Questions & Step-by-Step Solutions
If the equation of a line is given as 4x - y = 8, what is the y-intercept of the line?
Step 1: Start with the equation of the line: 4x - y = 8.
Step 2: To find the y-intercept, we need to rearrange the equation into the form y = mx + b, where b is the y-intercept.
Step 3: Move '4x' to the other side of the equation by subtracting it from both sides: -y = -4x + 8.
Step 4: Now, multiply the entire equation by -1 to make 'y' positive: y = 4x - 8.
Step 5: In the equation y = 4x - 8, the y-intercept (b) is the number that is added or subtracted, which is -8.
Linear Equations – Understanding the standard form of a linear equation and how to convert it to slope-intercept form (y = mx + b) to identify the y-intercept.
Y-Intercept – The point where the line crosses the y-axis, which can be directly identified from the slope-intercept form of the equation.