Question

Identify the slope and y-intercept of each linear function’s equation. X -3=4 slope = 1; y-intercept at -3 y=1-3x slope =-3; y-intercept at 1 y = 3x. – 1 slope =-1; y-intercept at 3 -x+3=y slope = 3; y-intercept at -1

1. Using slope-intercept form, the slope and y-intercept of the equation are 1 and – 7 respectively

### Slope and Y-intercept

The slope-intercept formula is often used to calculate or identify the slope, the y-intercept, the x-intercept, or the equation of a straight line in the equation.
The slope of the line is defined as the rate of change of the y – axis to the change in the x – axis.
The formula is represented as;
m = Δy / Δx
where Δ represent the change
The y-intercept of a line is the point at which the line touches the y-axis of the graph.
With these information, we can write a slope-intercept form of a straight line which is given as;
y = mx + c
• m = slope
• c = y-intercept
In the given question;
x – 3 = 4
Let’s collect like terms
x – 3 – 4 = x – 7
The equation can be rewritten as y = x – 7
In this case, the slope is 1 and the y-intercept is – 7