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frosja888 [35]
3 years ago
10

What is the slope, y-intercept, and equation of a line given the points (-4, 0) and (1, 5)?

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:

Slope: 1\\y-Intercept: 4\\Equation: y = x + 4

Step-by-step explanation:

Given two points, we can find the equation of the line between them with the following:

y = mx + b\\m = \frac{y_2-y_1}{x_2-x_1}

First, we can calculate m, or slope

m = \frac{y_2-y_1}{x_2-x_1} = \frac{5-0}{1-(-4)}  = \frac{5}{5} = 1

Next we can use the top equation and solve for b, the y-intercept

y = mx + b\\y = x + b\\5 = (1) + b\\b = 4\\\\y = x + 4

Slope: 1\\y-Intercept: 4\\Equation: y = x + 4

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