Question

Write an equation in slope intercept form of the line shown

Answer 1

Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, meaning that you subtract the first y-coordinate from the second y-coordinate and the first x-coordinate from the second x-coordinate. The points we are using are (-4, 0) and (1, -5). Let's plug in the values: -5 - 0 / 1 - (-4). Okay. When we subtract a negative number, we actually add the number. Do the math, and you get -5/5 or just -1. The slope of the line is -1. The formula will be transferred into slope-intercept form, which is y = mx + b, with "m" being the slope, "b" being the y-intercept (where the line crosses the y-axis, with the value of x-axis being 0), and "y" and "x" remaining unfilled. The y-intercept is -4. The formula in slope-intercept form is y = -1x + (-4).