SAT Math : How to find slope of a line
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Example Question #1 :Slope And Line Equations
Based on the table below, when x = 5, y will equal
x |
y |
-1 |
3 |
0 |
1 |
1 |
-1 |
2 |
-3 |
11
–10
–11
–9
–9
Use 2 points from the chart to find the equation of the line.
Example: (–1, 3) and (1, –1)
Using the formula for the slope, we find the slope to be –2. Putting that into our equation for a line we get y = –2x + b. Plug in one of the points for x and y into this equation in order to find b. b = 1.
The equation then will be: y = –2x + 1.
Plug in 5 for x in order to find y.
y = –2(5) + 1
y = –9
Example Question #1 :Psat Mathematics
What is the slope of a line that runs through points: (-2, 5) and (1, 7)?
2
3/2
5/7
2/3
2/3
The slope of a line is defined as a change in the y coordinates over a change in the x coordinates (rise over run).
To calculate the slope of a line, use the following formula:
问题# 3:例子Geometry
A line passes through the points (–3, 5) and (2, 3). What is the slope of this line?
2/3
-3/5
–2/3
2/5
–2/5
–2/5
The slope of the line that passes these two points are simply ∆y/∆x = (3-5)/(2+3) = -2/5
Example Question #2 :Slope And Line Equations
Which of the following lines intersects they-axis at a thirty degree angle?
y=x- √2
y=x((√3)/3) + 1
y=x√3 + 2
y=x
y=x√2 - 2
y=x√3 + 2
Example Question #5 :Geometry
What is a possible slope of liney?
2
–2
–2
The slope is negative as it starts in quadrant 2 and ends in quadrant 4. Slope is equivlent to the change inydivided by the change inx. The change inyis greater than the change inx, which implies that the slope must be less than –1, leaving –2 as the only possible solution.
Example Question #6 :Geometry
What is the slope between
Let
Example Question #8 :How To Find The Slope Of A Line
What is the slope of line 3 = 8y - 4x?
2
0.5
-0.5
-2
0.5
Solve equation for y. y=mx+b, where m is the slope
Example Question #9 :How To Find The Slope Of A Line
Find the slope of the line 6X – 2Y = 14
-6
-3
12
3
3
Put the equation in slope-intercept form:
y = mx + b
-2y = -6x +14
y = 3x – 7
The slope of the line is represented by M; therefore the slope of the line is 3.
Example Question #1 :How To Find The Slope Of A Line
If 2x – 4y = 10, what is the slope of the line?
0.5
–5/2
–0.5
2
–2
0.5
First put the equation into slope-intercept form, solving for y: 2x – 4y = 10 → –4y = –2x + 10 → y = 1/2*x – 5/2. So the slope is 1/2.
Example Question #1 :How To Find The Slope Of A Line
What is the slope of the line with equation 4x– 16y= 24?
1/2
-1/8
1/8
1/4
–1/4
1/4
The equation of a line is:
y=mx+b, wheremis the slope
4x– 16y= 24
–16y= –4x+ 24
y= (–4x)/(–16) + 24/(–16)
y= (1/4)x– 1.5
Slope = 1/4
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