Triangle A is an isosceles with two angles of measure x degrees and one angle of measure y degrees
the equation is x+x+y = 180
If you were to sketch the graph of this linear equation, what would its slope be? How can you interpret the slope in the context of the triangle?
To find the slope of the linear equation, let's rearrange it to the standard slope-intercept form, y = mx + b, where m represents the slope.
Given equation: x + x + y = 180
Combining like terms: 2x + y = 180
Rearranging: y = -2x + 180
Comparing this equation to the standard form, we can see that the coefficient of x is -2, indicating that the slope (m) is -2.
In the context of the triangle, the slope represents the rate of change between the measure of the angles. Specifically, it indicates that for every increase of 1 in x (one angle), there is a decrease of 2 in y (the other angle). This means that as one angle gets larger, the other angle gets smaller at twice the rate.