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.
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?
1 answer