Final answer:
To write an equation in slope-intercept form that passes through two given points, we can find the slope and y-intercept using the formula y = mx + b.
Step-by-step explanation:
To write an equation in slope-intercept form, we will use the formula y = mx + b where m is the slope and b is the y-intercept. First, find the slope by using the formula m = (y2 - y1) / (x2 - x1). Given the points (-5, -4) and (1, -2), the slope is (-2 - (-4)) / (1 - (-5)) = 2 / 6 = 1/3. Substituting one of the points and the slope into the equation, we get -4 = (1/3)(-5) + b. Solving for b, we have b = -4 + 5/3 = -7/3. Therefore, the equation is y = (1/3)x - 7/3.
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