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Oregon State University
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Find the slope and the $y$ -intercept of each line whose equation is given. $$y=-\frac{3}{8} x+4$$
When the equation is written in the slope-intercept form (y=mx+b) we can find the y-intercept by looking at the equation. The value of b is the y-intercept. This is because the y-intercept is when the x value equals 0. When x = 0, mx = 0, so when x = 0, y = b.
To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis.
When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable.
Video Source (08:37 mins) | Transcript
To find y-intercept: set x = 0 and solve for y. The point will be (0, y).
To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).
Additional Resources
- Find the y-intercept of the line:
\({\text{y}}=-3{\text{x}}-9\) - Find the x-intercept of the line:
\({\text{y}}=-4{\text{x}}+12\) - Find the y-intercept of the line:
y − 9 = 3x - Find the x-intercept of the line:
y + 12 = 2x - Find the y-intercept of the line:
\({\text{x}}+6{\text{y}}=-24\) - Find the x-intercept of the line:
\(5{\text{x}}+4{\text{y}}=-20\)