Slope = 3
y intercept = 4
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Explanation:
Let's find the slope.
[tex]m = \text{slope}\\\\m=\frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{7-4}{1-0}\\\\m = \frac{3}{1}\\\\m = 3[/tex]
The slope is m = 3.
The y intercept is b = 4 due to the point (0,4). The y intercept always occurs when x = 0.
We'll then plug those m and b values into y = mx+b to get the answer y = 3x+4
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As a way to check the answer, plugging x = 0 should lead to y = 4
y = 3x+4
y = 3*0+4
y = 0+4
y = 4
So that works out. Let's try x = 1. It should produce y = 7
y = 3x+4
y = 3*1+4
y = 3+4
y = 7
That works out also. The answer is fully confirmed.
