All ACT Math Resources
Example Question #1 : X And Y Intercept
Find the slope of the following line: 6x – 4y = 10
Putting the equation in y = mx + b form we obtain y = 1.5x – 2.5.
The slope is 1.5.
Example Question #2 : X And Y Intercept
Find the equation of the line that has an x-intercept of and a y-intercept of .
None of the other answers
The equation of a line can be written in the form of where m is the slope and b is the y-intercept. Fortunately, we are given the y-intercept in the problem statement. Therefore, we know that .
Now we just need to find the slope of the line. We can find the slope of a line when we know any two points on that line. Generically, the slop of a line is , or more technically, . The problem statement gives use the two intercepts of the line, which can be written as and . Plugging these points into the equation for slope, we get .
We can now plug in our calculated values into the equation of a line to get .
Example Question #3 : X And Y Intercept
What is the x-intercept of the line in the standard coordinate plane for the following equation?
This question is asking us to find the x-intercept. Remember that the y-value is equal to zero at the x-intercept. Substitute zero in for the y-variable in the equation and solve for the x-variable.
Add 2 to both sides of the equation.
Divide both sides of the equation by 6.
The line crosses the x-axis at 2.