Which Is An Equation Of The Line With A Slope Of 1/4 And A Y-intercept Of?
The equation is y = (1/4)x + b, where b is your y-intercept. For instance, if the y-intercept is 3, you’d plug that in to get y = (1/4)x + 3.
What does a slope of 1/4 actually mean?
A slope of 1/4 means the line rises 1 unit for every 4 units it runs horizontally. Roofers call this a 1/4:12 pitch—perfect when you need just a gentle incline, like 1 inch of rise per 12 inches of run. If you're curious about how different slopes compare, check out really hard math equations for more examples.
How do you write an equation when you know the slope and y-intercept?
If you’ve got the slope (m) and y-intercept (b), just plug them into y = mx + b. So if m is 3 and b is 4, your equation becomes y = 3x + 4. For more details on finding b in an equation, this guide can help.
Can you give a general equation for a line when you only know it has a slope and a y-intercept?
Sure—without specific numbers, the general equation is y = mx + b. Say the slope is 2 and the y-intercept is 5; then your line’s equation is y = 2x + 5. MathWords has great examples if you want to see more.
How would you express y = -4 in slope-intercept form?
It’s already there—just rewrite it as y = 0x - 4. That shows a flat line with zero slope, crossing the y-axis at -4.
How do you find the y-intercept from an equation?
Set x to zero and solve for y. In y = mx + b, that gives you (0, b), the exact spot where the line meets the y-axis. You can also explore variation equations to see how intercepts work in different contexts.
What does a slope of 1/3 look like?
A slope of 1/3 means the line climbs 1 unit for every 3 units it moves sideways. A line perpendicular to it would have a slope of -3, since perpendicular lines flip and flip the sign.
What’s the slope in Y = -2x + 4?
The slope is -2. In y = mx + b, m is the number multiplying x, so here m = -2.
What’s the slope of y = -1/3x?
The slope is -1/3. That’s the coefficient of x, neatly tucked in front of the variable.
What’s the y-intercept of the point (0, 4)?
The y-intercept is 4. That’s the b in y = mx + b, and it’s where the line crosses the y-axis.
How do you write Y = 5x in slope-intercept form?
It’s already in slope-intercept form—y = 5x is the same as y = 5x + 0. The slope is 5, and it zooms straight through the origin. If you need help writing equations on a mobile device, this guide can assist you.
What’s the equation of a line with a slope of 4 and a y-intercept of 2?
The equation is y = 4x + 2. Just drop the slope and intercept straight into y = mx + b.
How do you turn any equation into slope-intercept form?
Solve for y. Get y all by itself on one side, and whatever’s left will show you the slope and intercept directly.
What’s the slope of y = -3/5x - 1?
The slope is 3/5. Ignore the minus sign in front of the fraction—it’s the coefficient of x that matters, and here it’s positive 3/5. The line crosses the y-axis at -1.
Where does y = -2x - 6 meet the y-axis?
It meets at -6. Set x to zero and you’ll see y = -6, so the line passes through (0, -6).
What’s the y-intercept of y = -3/7x?
The y-intercept is 0. No constant term means the line glides right through the origin (0, 0), with a slope of 3/7.
