Question

find the slope of the graph and the equation. do they have the same slopes?

y = 4x - 3
show your work here

slope of graph =
slope of equation =
( ) yes, the slopes are the same ( ) no, the slopes are not the same

Explanation:

Step1: Find slope of graph

Use two points on the line, e.g., \((0, 2)\) and \((1, 6)\) (from the graph). Slope formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\). So \(m = \frac{6 - 2}{1 - 0} = 4\).

Step2: Find slope of equation

The equation is \(y = 4x - 3\), in slope - intercept form \(y = mx + b\), so slope \(m = 4\).

Step3: Compare slopes

Since both slopes are 4, the lines (graph and equation) have the same shape (parallel or coincident in slope, so same steepness).

Answer:

Slope of graph = \(4\)
Slope of equation = \(4\)
Yes, they have the same shape because their slopes are equal.