The equation of the line that passes through (0, 2) in slope-intercept form is y = 2, because a horizontal line has a slope of 0 and every point on it shares the same y-coordinate.
What is the equation of a line that passes through the points 0 2 and has a slope of?
The equation is y = 2, since any line with undefined slope is vertical and passes through x = 0.
Here's the thing: when the slope is undefined, we're dealing with a vertical line. With the point (0, 2), that line happens to be the y-axis itself. So yes, x = 0 is the equation, but in this case, it passes through (0, 2) perfectly.
What is the equation of a line that passes through the point 0 2?
The equation is y = 2x + c, where c is determined by additional information.
Now, this is tricky. With just one point, you can't lock down a single line—you need more data. Say you know the slope is 3? Then the equation becomes y = 3x + 2. Drop that point into point-slope form, and you'll get there. Without that slope, though, you're stuck with possibilities.
What is an equation of the line that passes through the points 0 − 2 and 0?
The equation is x = 0, because both points lie on the y-axis.
Both points share the same x-coordinate, so this has to be a vertical line. That means the equation is simply x = 0. Horizontal lines, on the other hand, look like y = some number. Vertical lines are the ones that shoot straight up and down.
What is the equation in point slope form of the line passing through 0 2 and 1 5?
The equation is y − 2 = 3(x − 0), or simply y = 3x + 2.
First, grab the slope: (5 - 2)/(1 - 0) = 3. Plug that and the point (0, 2) into point-slope form. Simplify it, and you get y = 3x + 2. That 3 is your slope, and 2 is your y-intercept. Honestly, this is one of the cleaner examples in algebra.
What is the equation for the line with a slope of 7 and passes through 0 1?
The equation is y = 7x + 1.
Use slope-intercept form: y = mx + b. The slope m is 7, and the point (0, 1) tells you the y-intercept b is 1. Plug those in, and you get y = 7x + 1. That slope is pretty steep—this line climbs fast.
What is the equation of the line through points 2 3 and 4 5?
The equation is y = x + 1.
Calculate the slope first: (5 - 3)/(4 - 2) = 1. Then use point-slope form with (2, 3): y − 3 = 1(x − 2). Simplify it to y = x + 1. This line rises one unit for every unit it moves right—simple and clean.
Which is the slope of the line that passes through the points 3 17 and 7 25?
Slope is change in y over change in x: (25 − 17)/(7 − 3) = 8/4 = 2. That means for every 1 unit you move right, the line goes up 2 units. It's a steady, upward trend—easy to visualize.
What is the equation of the line that passes through the point (-7, 2) and has a slope of?
The equation is y − 2 = m(x + 7), where m is the slope.
Without the slope, the line isn't unique. Say m = 3? Then the equation becomes y − 2 = 3(x + 7), which simplifies to y = 3x + 23. Use point-slope form with the given point and slope to find the line’s equation.
What is the equation of a line that has a slope of?
The general equation is y = mx + b, where m is the slope and b is the y-intercept.
If you've got a point (x₁, y₁), use point-slope form: y − y₁ = m(x − x₁). For example, with slope m = 4 and point (1, 3), the equation becomes y − 3 = 4(x − 1), or y = 4x − 1. That’s how you lock it down.
What is the slope intercept form equation of the line that passes through 5 7 and 8 22?
The equation is y = 5x − 18.
First, find the slope: (22 − 7)/(8 − 5) = 15/3 = 5. Use point-slope form with (5, 7): y − 7 = 5(x − 5). Simplify to y = 5x − 18. This line climbs steeply and crosses the y-axis below the origin.
What is the equation of the line that passes through the point 5 0 and has a slope of 1?
The equation is y = x − 5.
Use slope-intercept form: y = mx + b. The slope m is 1, and the point (5, 0) helps you find b. Plug into point-slope form: y − 0 = 1(x − 5). Simplify to y = x − 5. Shift it down, and it’ll pass through the origin.
What is the equation of a line that passes through points?
The equation is y = mx + c, determined by the slope and y-intercept.
For two points (x₁, y₁) and (x₂, y₂), calculate the slope m = (y₂ − y₁)/(x₂ − x₁). Use that slope and one point in point-slope form to find the equation. Try (-1, 3) and (2, -3): the slope is -2, and the equation is y = -2x + 1.
What is the equation of a line passing through 0 0?
The equation is y = mx, where m is the slope.
With the origin (0, 0), the y-intercept b is 0. If the slope is 5, the equation is y = 5x. This line goes straight through the origin and rises or falls depending on the slope’s sign and size.
What is the equation of a horizontal line passing through the point 2 10?
Horizontal lines have a slope of 0 and constant y-values. Since it passes through (2, 10), every point on the line has a y-coordinate of 10. That’s why the equation is simply y = 10.
What is the slope intercept form equation of the line that passes through 3 4 and 5/16 ? 1 point?
The equation is y = 6x − 14.
Calculate the slope: (16 − 4)/(5 − 3) = 12/2 = 6. Use point-slope form with (3, 4): y − 4 = 6(x − 3). Simplify to y = 6x − 14. This line is steep and crosses the y-axis below the origin.
Which is the slope of the line that passes through the points 3 17 and 7 25?
What is the equation of the line that passes through the point (-7, 2) and has a slope of?
The equation in slope-intercept form of the line through the point P(7, 2) with slope -3 is given as y = -3x + 23.
What is the slope intercept form equation of the line that passes through 3 4 and 5/16 ? 1 point?
