Answer:
The graph of y + 1 = −3/5 (x − 4) would be a straight line. The graph figure is attached below.
Step-by-step explanation:
As the linear equation y + 1 = −3/5 (x − 4) is given.
Since y-y₁ = m (x - x₁) is the Point-slope form is the general form y-y₁=m(x-x₁) for linear equations.
Hence, from the linear equation we can determine the slop which is m = -3/5
Also, when we put x = 0 in the linear equation, we determine the y-intercept as follows:
y + 1 = −3/5 (x − 4)
y + 1 = -3/5(-4) ∵x = 0
y = 12/5 - 1
y = 7/5
y-intercept: 7/5
Hence,
Table for some points can be made for x and values as:
x y
0 7/5
1 4/5
The graph of y + 1 = −3/5 (x − 4) would be a straight line. The graph figure is attached below.
Keywords: graph, straight line
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