Answer:
y = -6x + 7
Explanation:
Slope-intercept form: y = mx + b
where:
- m is the slope
- b is the y-intercept (when x = 0)
Given: a line with a slope of -6, and y-intercept of 7
Equation: y = -6x + 7
Randomly select x-values that will help you graph the equation:
when x = -2:
y = -6(-2) + 7 [multiply]
y = 12 + 7 [add]
y = 19
coordinate: (-2, 19)
when x = 1:
y = -6(1) + 7 [multiply]
y = -6 + 7 [add]
y = 1
coordinate: (1, 1)
when x = 2:
y = -6(2) + 7 [multiply]
y = -12 + 7 [add]
y = -5
coordinate: (2, -5)
These coordinates fall on the line for the linear equation. Graph them on a coordinate plane, and they should give you the line for the equation.