Write an equation in slope-intercept form, of the line that passes through (0, 3) and (−5, 2.5).

The equation of a line, in slope-intercept form, that passes through points (0, 3) and (-5, 2.5) is:

Recall:

Given the two points a line passes through as:

(0, 3) and (−5, 2.5)

Find the slope (m) using:

Find the y-intercept (b) by substituting (x, y) = (0, 3) and m = 0.1 into y = mx + b and solve for b

Write the equation by substituting m = 0.1 and b = 3 into y = mcx + b:

Therefore, the equation of a line, in slope-intercept form, that passes through points (0, 3) and (-5, 2.5) is:

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The slope-intercept form:

m - slope, b - y-intercept

We have the points (0, 3) - y-intercept (b = 3) and (-5, 2.5). Substitute: