Questions: Writing an equation of a line given its slope and y-intercept Write an equation in slope-intercept form for the line with slope -3/4 and y-intercept -1.

Writing an equation of a line given its slope and y-intercept

Write an equation in slope-intercept form for the line with slope -3/4 and y-intercept -1.

Transcript text: Writing an equation of a line given its slope and $y$-intercept Write an equation in slope-intercept form for the line with slope $-\frac{3}{4}$ and $y$-intercept -1 . $\square$

Solution

Solution Steps

To write the equation of a line in slope-intercept form, we use the formula $ y = mx + b $, where $ m $ is the slope and $ b $ is the y-intercept. Given the slope $ m = -\frac{3}{4} $ and the y-intercept $ b = -1 $, we can directly substitute these values into the formula to get the equation of the line.

Step 1: Identify the Slope and Y-Intercept

The slope of the line is given as $ m = -\frac{3}{4} $ and the y-intercept is $ b = -1 $.

Step 2: Write the Equation in Slope-Intercept Form

Using the slope-intercept form of a line, which is expressed as $ y = mx + b $, we substitute the values of $ m $ and $ b $: \[ y = -\frac{3}{4}x - 1 \]