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# Writing Linear Equations in Slope-Intercept Form

## Writing Linear Equations in Slope-Intercept Form 1.3 - Solution

a
Let's start by recalling the slope-intercept form of a line. Here, is the slope and is the intercept. We will use the two given points to calculate these values. Let's find the slope by substituting the points into the slope formula.
Now that we know that the slope is we can write a partial equation of the line. To complete the equation, we need to determine the intercept Since we know that the given points satisfy the equation, we can substitute one of them and solve for Let's use
Solve for
We know that the value of the intercept is We can now complete the equation.
b
The first step is to find the slope using the slope formula and the given points.
We have found that Let's substitute it into the slope-intercept form. To complete the equation, we also need to determine the intercept. Since we know that the given points satisfy the equation, we can substitute one of them and solve for Let's use
Solve for
We have found that We can now complete the equation.