The problem asks to identify the gradient (slope) and the y-intercept of the given linear equation: $y = -2x + 8$.

AlgebraLinear EquationsSlope-intercept formGradientY-intercept
2025/5/14

1. Problem Description

The problem asks to identify the gradient (slope) and the y-intercept of the given linear equation: y=2x+8y = -2x + 8.

2. Solution Steps

The given equation is in the slope-intercept form, which is:
y=mx+cy = mx + c
where mm represents the gradient (slope) and cc represents the y-intercept.
Comparing the given equation y=2x+8y = -2x + 8 with the slope-intercept form, we can identify the values of mm and cc.
m=2m = -2 and c=8c = 8
Therefore, the gradient is 2-2 and the y-intercept is 88.

3. Final Answer

Gradient: -2
y-intercept: 8

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